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Finding the Fourth Proportional to 231.32, 320.04 and 202.29

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Solution

The fourth proportional to 231.32, 320.04 and 202.29 is: 279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.32 : 320.04 = 202.29 : x
  2. Step 2: Convert to fraction form
    231.32/320.04 = 202.29/x
  3. Step 3: Cross multiply
    231.32x = 320.04 × 202.29
  4. Step 4: Simplify right side
    231.32x = 64,740.89
  5. Step 5: Solve for x
    x = 64,740.89/231.32
  6. Step 6: Final answer
    x = 279.88

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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.