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Finding the Fourth Proportional to 151.52, 209.05 and 134.99

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Solution

The fourth proportional to 151.52, 209.05 and 134.99 is: 186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 209.05 = 134.99 : x
  2. Step 2: Convert to fraction form
    151.52/209.05 = 134.99/x
  3. Step 3: Cross multiply
    151.52x = 209.05 × 134.99
  4. Step 4: Simplify right side
    151.52x = 28,219.06
  5. Step 5: Solve for x
    x = 28,219.06/151.52
  6. Step 6: Final answer
    x = 186.25

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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.