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Finding the Fourth Proportional to 151.74, 207.60 and 151.14

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Solution

The fourth proportional to 151.74, 207.60 and 151.14 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.74 : 207.60 = 151.14 : x
  2. Step 2: Convert to fraction form
    151.74/207.60 = 151.14/x
  3. Step 3: Cross multiply
    151.74x = 207.60 × 151.14
  4. Step 4: Simplify right side
    151.74x = 31,376.66
  5. Step 5: Solve for x
    x = 31,376.66/151.74
  6. Step 6: Final answer
    x = 206.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.