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Finding the Fourth Proportional to 202.32, 278.70 and 160.86

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Solution

The fourth proportional to 202.32, 278.70 and 160.86 is: 221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 278.70 = 160.86 : x
  2. Step 2: Convert to fraction form
    202.32/278.70 = 160.86/x
  3. Step 3: Cross multiply
    202.32x = 278.70 × 160.86
  4. Step 4: Simplify right side
    202.32x = 44,831.68
  5. Step 5: Solve for x
    x = 44,831.68/202.32
  6. Step 6: Final answer
    x = 221.59

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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.