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Finding the Fourth Proportional to 242.52, 334.62 and 137.60

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Solution

The fourth proportional to 242.52, 334.62 and 137.60 is: 189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.52 : 334.62 = 137.60 : x
  2. Step 2: Convert to fraction form
    242.52/334.62 = 137.60/x
  3. Step 3: Cross multiply
    242.52x = 334.62 × 137.60
  4. Step 4: Simplify right side
    242.52x = 46,043.71
  5. Step 5: Solve for x
    x = 46,043.71/242.52
  6. Step 6: Final answer
    x = 189.86

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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.