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Finding the Fourth Proportional to 242.14, 334.28 and 186.76

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Solution

The fourth proportional to 242.14, 334.28 and 186.76 is: 257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.14 : 334.28 = 186.76 : x
  2. Step 2: Convert to fraction form
    242.14/334.28 = 186.76/x
  3. Step 3: Cross multiply
    242.14x = 334.28 × 186.76
  4. Step 4: Simplify right side
    242.14x = 62,430.13
  5. Step 5: Solve for x
    x = 62,430.13/242.14
  6. Step 6: Final answer
    x = 257.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.