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Finding the Fourth Proportional to 160.07, 220.79 and 147

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Solution

The fourth proportional to 160.07, 220.79 and 147 is: 202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.07 : 220.79 = 147 : x
  2. Step 2: Convert to fraction form
    160.07/220.79 = 147/x
  3. Step 3: Cross multiply
    160.07x = 220.79 × 147
  4. Step 4: Simplify right side
    160.07x = 32,456.13
  5. Step 5: Solve for x
    x = 32,456.13/160.07
  6. Step 6: Final answer
    x = 202.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.