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Finding the Fourth Proportional to 185.61, 256.34 and 150.99

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Solution

The fourth proportional to 185.61, 256.34 and 150.99 is: 208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.61 : 256.34 = 150.99 : x
  2. Step 2: Convert to fraction form
    185.61/256.34 = 150.99/x
  3. Step 3: Cross multiply
    185.61x = 256.34 × 150.99
  4. Step 4: Simplify right side
    185.61x = 38,704.02
  5. Step 5: Solve for x
    x = 38,704.02/185.61
  6. Step 6: Final answer
    x = 208.52

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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.