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Finding the Fourth Proportional to 242.10, 334.08 and 186.78

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Solution

The fourth proportional to 242.10, 334.08 and 186.78 is: 257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.10 : 334.08 = 186.78 : x
  2. Step 2: Convert to fraction form
    242.10/334.08 = 186.78/x
  3. Step 3: Cross multiply
    242.10x = 334.08 × 186.78
  4. Step 4: Simplify right side
    242.10x = 62,399.46
  5. Step 5: Solve for x
    x = 62,399.46/242.10
  6. Step 6: Final answer
    x = 257.74

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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.