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Finding the Fourth Proportional to 151.72, 208.17 and 149.16

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Solution

The fourth proportional to 151.72, 208.17 and 149.16 is: 204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.72 : 208.17 = 149.16 : x
  2. Step 2: Convert to fraction form
    151.72/208.17 = 149.16/x
  3. Step 3: Cross multiply
    151.72x = 208.17 × 149.16
  4. Step 4: Simplify right side
    151.72x = 31,050.64
  5. Step 5: Solve for x
    x = 31,050.64/151.72
  6. Step 6: Final answer
    x = 204.66

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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.