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Finding the Fourth Proportional to 160.02, 240.91 and 140.87

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Solution

The fourth proportional to 160.02, 240.91 and 140.87 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.02 : 240.91 = 140.87 : x
  2. Step 2: Convert to fraction form
    160.02/240.91 = 140.87/x
  3. Step 3: Cross multiply
    160.02x = 240.91 × 140.87
  4. Step 4: Simplify right side
    160.02x = 33,937.24
  5. Step 5: Solve for x
    x = 33,937.24/160.02
  6. Step 6: Final answer
    x = 212.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.