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Finding the Fourth Proportional to 160.23, 240.23 and 79.01

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Solution

The fourth proportional to 160.23, 240.23 and 79.01 is: 118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.23 : 240.23 = 79.01 : x
  2. Step 2: Convert to fraction form
    160.23/240.23 = 79.01/x
  3. Step 3: Cross multiply
    160.23x = 240.23 × 79.01
  4. Step 4: Simplify right side
    160.23x = 18,979.97
  5. Step 5: Solve for x
    x = 18,979.97/160.23
  6. Step 6: Final answer
    x = 118.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.