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Finding the Fourth Proportional to 242.86, 335.17 and 160.03

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Solution

The fourth proportional to 242.86, 335.17 and 160.03 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.86 : 335.17 = 160.03 : x
  2. Step 2: Convert to fraction form
    242.86/335.17 = 160.03/x
  3. Step 3: Cross multiply
    242.86x = 335.17 × 160.03
  4. Step 4: Simplify right side
    242.86x = 53,637.26
  5. Step 5: Solve for x
    x = 53,637.26/242.86
  6. Step 6: Final answer
    x = 220.86

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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.