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Finding the Fourth Proportional to 202.17, 301.68 and 160.57

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Solution

The fourth proportional to 202.17, 301.68 and 160.57 is: 239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.17 : 301.68 = 160.57 : x
  2. Step 2: Convert to fraction form
    202.17/301.68 = 160.57/x
  3. Step 3: Cross multiply
    202.17x = 301.68 × 160.57
  4. Step 4: Simplify right side
    202.17x = 48,441.13
  5. Step 5: Solve for x
    x = 48,441.13/202.17
  6. Step 6: Final answer
    x = 239.60

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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.