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Finding the Fourth Proportional to 185.47, 256.08 and 150.91

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Solution

The fourth proportional to 185.47, 256.08 and 150.91 is: 208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.47 : 256.08 = 150.91 : x
  2. Step 2: Convert to fraction form
    185.47/256.08 = 150.91/x
  3. Step 3: Cross multiply
    185.47x = 256.08 × 150.91
  4. Step 4: Simplify right side
    185.47x = 38,645.03
  5. Step 5: Solve for x
    x = 38,645.03/185.47
  6. Step 6: Final answer
    x = 208.36

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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.