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Finding the Fourth Proportional to 149.42, 206.23 and 86.40

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Solution

The fourth proportional to 149.42, 206.23 and 86.40 is: 119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.42 : 206.23 = 86.40 : x
  2. Step 2: Convert to fraction form
    149.42/206.23 = 86.40/x
  3. Step 3: Cross multiply
    149.42x = 206.23 × 86.40
  4. Step 4: Simplify right side
    149.42x = 17,818.27
  5. Step 5: Solve for x
    x = 17,818.27/149.42
  6. Step 6: Final answer
    x = 119.25

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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.