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Finding the Fourth Proportional to 149.88, 206.53 and 114.91

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Solution

The fourth proportional to 149.88, 206.53 and 114.91 is: 158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.88 : 206.53 = 114.91 : x
  2. Step 2: Convert to fraction form
    149.88/206.53 = 114.91/x
  3. Step 3: Cross multiply
    149.88x = 206.53 × 114.91
  4. Step 4: Simplify right side
    149.88x = 23,732.76
  5. Step 5: Solve for x
    x = 23,732.76/149.88
  6. Step 6: Final answer
    x = 158.34

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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.