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Finding the Fourth Proportional to 151.59, 209.22 and 127.02

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Solution

The fourth proportional to 151.59, 209.22 and 127.02 is: 175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.59 : 209.22 = 127.02 : x
  2. Step 2: Convert to fraction form
    151.59/209.22 = 127.02/x
  3. Step 3: Cross multiply
    151.59x = 209.22 × 127.02
  4. Step 4: Simplify right side
    151.59x = 26,574.26
  5. Step 5: Solve for x
    x = 26,574.26/151.59
  6. Step 6: Final answer
    x = 175.31

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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.