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Finding the Fourth Proportional to 150.21, 207.28 and 84.71

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Solution

The fourth proportional to 150.21, 207.28 and 84.71 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.21 : 207.28 = 84.71 : x
  2. Step 2: Convert to fraction form
    150.21/207.28 = 84.71/x
  3. Step 3: Cross multiply
    150.21x = 207.28 × 84.71
  4. Step 4: Simplify right side
    150.21x = 17,557.44
  5. Step 5: Solve for x
    x = 17,557.44/150.21
  6. Step 6: Final answer
    x = 116.89

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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.