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Finding the Fourth Proportional to 160.04, 238.69 and 137

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Solution

The fourth proportional to 160.04, 238.69 and 137 is: 204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.04 : 238.69 = 137 : x
  2. Step 2: Convert to fraction form
    160.04/238.69 = 137/x
  3. Step 3: Cross multiply
    160.04x = 238.69 × 137
  4. Step 4: Simplify right side
    160.04x = 32,700.53
  5. Step 5: Solve for x
    x = 32,700.53/160.04
  6. Step 6: Final answer
    x = 204.33

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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.