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Finding the Fourth Proportional to 242.28, 362.88 and 177.24

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Solution

The fourth proportional to 242.28, 362.88 and 177.24 is: 265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.28 : 362.88 = 177.24 : x
  2. Step 2: Convert to fraction form
    242.28/362.88 = 177.24/x
  3. Step 3: Cross multiply
    242.28x = 362.88 × 177.24
  4. Step 4: Simplify right side
    242.28x = 64,316.85
  5. Step 5: Solve for x
    x = 64,316.85/242.28
  6. Step 6: Final answer
    x = 265.46

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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.