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Finding the Fourth Proportional to 215.32, 323.04 and 138.16

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Solution

The fourth proportional to 215.32, 323.04 and 138.16 is: 207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.32 : 323.04 = 138.16 : x
  2. Step 2: Convert to fraction form
    215.32/323.04 = 138.16/x
  3. Step 3: Cross multiply
    215.32x = 323.04 × 138.16
  4. Step 4: Simplify right side
    215.32x = 44,631.21
  5. Step 5: Solve for x
    x = 44,631.21/215.32
  6. Step 6: Final answer
    x = 207.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.