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Finding the Fourth Proportional to 310.10, 463.38 and 223.03

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Solution

The fourth proportional to 310.10, 463.38 and 223.03 is: 333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 463.38 = 223.03 : x
  2. Step 2: Convert to fraction form
    310.10/463.38 = 223.03/x
  3. Step 3: Cross multiply
    310.10x = 463.38 × 223.03
  4. Step 4: Simplify right side
    310.10x = 103,345.32
  5. Step 5: Solve for x
    x = 103,345.32/310.10
  6. Step 6: Final answer
    x = 333.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.