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Finding the Fourth Proportional to 151.59, 208.74 and 134.75

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Solution

The fourth proportional to 151.59, 208.74 and 134.75 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.59 : 208.74 = 134.75 : x
  2. Step 2: Convert to fraction form
    151.59/208.74 = 134.75/x
  3. Step 3: Cross multiply
    151.59x = 208.74 × 134.75
  4. Step 4: Simplify right side
    151.59x = 28,126.67
  5. Step 5: Solve for x
    x = 28,126.67/151.59
  6. Step 6: Final answer
    x = 185.54

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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.