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Finding the Fourth Proportional to 873.16, 1,309.64 and 223.90

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Solution

The fourth proportional to 873.16, 1,309.64 and 223.90 is: 335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.16 : 1,309.64 = 223.90 : x
  2. Step 2: Convert to fraction form
    873.16/1,309.64 = 223.90/x
  3. Step 3: Cross multiply
    873.16x = 1,309.64 × 223.90
  4. Step 4: Simplify right side
    873.16x = 293,228.40
  5. Step 5: Solve for x
    x = 293,228.40/873.16
  6. Step 6: Final answer
    x = 335.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.