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Finding the Fourth Proportional to 242.07, 362.83 and 124.94

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Solution

The fourth proportional to 242.07, 362.83 and 124.94 is: 187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.07 : 362.83 = 124.94 : x
  2. Step 2: Convert to fraction form
    242.07/362.83 = 124.94/x
  3. Step 3: Cross multiply
    242.07x = 362.83 × 124.94
  4. Step 4: Simplify right side
    242.07x = 45,331.98
  5. Step 5: Solve for x
    x = 45,331.98/242.07
  6. Step 6: Final answer
    x = 187.27

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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.