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Finding the Fourth Proportional to 242.57, 362.46 and 184.47

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Solution

The fourth proportional to 242.57, 362.46 and 184.47 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.57 : 362.46 = 184.47 : x
  2. Step 2: Convert to fraction form
    242.57/362.46 = 184.47/x
  3. Step 3: Cross multiply
    242.57x = 362.46 × 184.47
  4. Step 4: Simplify right side
    242.57x = 66,863.00
  5. Step 5: Solve for x
    x = 66,863.00/242.57
  6. Step 6: Final answer
    x = 275.65

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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.