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Finding the Fourth Proportional to 160.07, 238.19 and 159.53

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Solution

The fourth proportional to 160.07, 238.19 and 159.53 is: 237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.07 : 238.19 = 159.53 : x
  2. Step 2: Convert to fraction form
    160.07/238.19 = 159.53/x
  3. Step 3: Cross multiply
    160.07x = 238.19 × 159.53
  4. Step 4: Simplify right side
    160.07x = 37,996.46
  5. Step 5: Solve for x
    x = 37,996.46/160.07
  6. Step 6: Final answer
    x = 237.38

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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.