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Finding the Fourth Proportional to 160.53, 239.40 and 141.36

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Solution

The fourth proportional to 160.53, 239.40 and 141.36 is: 210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 239.40 = 141.36 : x
  2. Step 2: Convert to fraction form
    160.53/239.40 = 141.36/x
  3. Step 3: Cross multiply
    160.53x = 239.40 × 141.36
  4. Step 4: Simplify right side
    160.53x = 33,841.58
  5. Step 5: Solve for x
    x = 33,841.58/160.53
  6. Step 6: Final answer
    x = 210.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.