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Finding the Fourth Proportional to 581.66, 872.54 and 148.82

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Solution

The fourth proportional to 581.66, 872.54 and 148.82 is: 223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.66 : 872.54 = 148.82 : x
  2. Step 2: Convert to fraction form
    581.66/872.54 = 148.82/x
  3. Step 3: Cross multiply
    581.66x = 872.54 × 148.82
  4. Step 4: Simplify right side
    581.66x = 129,850.66
  5. Step 5: Solve for x
    x = 129,850.66/581.66
  6. Step 6: Final answer
    x = 223.24

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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.