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Finding the Fourth Proportional to 151.17, 208.82 and 109.88

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Solution

The fourth proportional to 151.17, 208.82 and 109.88 is: 151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.17 : 208.82 = 109.88 : x
  2. Step 2: Convert to fraction form
    151.17/208.82 = 109.88/x
  3. Step 3: Cross multiply
    151.17x = 208.82 × 109.88
  4. Step 4: Simplify right side
    151.17x = 22,943.55
  5. Step 5: Solve for x
    x = 22,943.55/151.17
  6. Step 6: Final answer
    x = 151.77

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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.