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Finding the Fourth Proportional to 160.75, 239.79 and 157.65

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Solution

The fourth proportional to 160.75, 239.79 and 157.65 is: 235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.75 : 239.79 = 157.65 : x
  2. Step 2: Convert to fraction form
    160.75/239.79 = 157.65/x
  3. Step 3: Cross multiply
    160.75x = 239.79 × 157.65
  4. Step 4: Simplify right side
    160.75x = 37,802.59
  5. Step 5: Solve for x
    x = 37,802.59/160.75
  6. Step 6: Final answer
    x = 235.16

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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.