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Finding the Fourth Proportional to 151.16, 208.50 and 116.22

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Solution

The fourth proportional to 151.16, 208.50 and 116.22 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.16 : 208.50 = 116.22 : x
  2. Step 2: Convert to fraction form
    151.16/208.50 = 116.22/x
  3. Step 3: Cross multiply
    151.16x = 208.50 × 116.22
  4. Step 4: Simplify right side
    151.16x = 24,231.87
  5. Step 5: Solve for x
    x = 24,231.87/151.16
  6. Step 6: Final answer
    x = 160.31

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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.