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Finding the Fourth Proportional to 149.98, 207.02 and 117.17

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Solution

The fourth proportional to 149.98, 207.02 and 117.17 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.98 : 207.02 = 117.17 : x
  2. Step 2: Convert to fraction form
    149.98/207.02 = 117.17/x
  3. Step 3: Cross multiply
    149.98x = 207.02 × 117.17
  4. Step 4: Simplify right side
    149.98x = 24,256.66
  5. Step 5: Solve for x
    x = 24,256.66/149.98
  6. Step 6: Final answer
    x = 161.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.