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Finding the Fourth Proportional to 242.31, 362.55 and 144.45

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Solution

The fourth proportional to 242.31, 362.55 and 144.45 is: 216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.31 : 362.55 = 144.45 : x
  2. Step 2: Convert to fraction form
    242.31/362.55 = 144.45/x
  3. Step 3: Cross multiply
    242.31x = 362.55 × 144.45
  4. Step 4: Simplify right side
    242.31x = 52,370.35
  5. Step 5: Solve for x
    x = 52,370.35/242.31
  6. Step 6: Final answer
    x = 216.13

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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.