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Finding the Fourth Proportional to 149.27, 206.00 and 90.27

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Solution

The fourth proportional to 149.27, 206.00 and 90.27 is: 124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.27 : 206.00 = 90.27 : x
  2. Step 2: Convert to fraction form
    149.27/206.00 = 90.27/x
  3. Step 3: Cross multiply
    149.27x = 206.00 × 90.27
  4. Step 4: Simplify right side
    149.27x = 18,595.17
  5. Step 5: Solve for x
    x = 18,595.17/149.27
  6. Step 6: Final answer
    x = 124.58

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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.