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Finding the Fourth Proportional to 215.01, 322.37 and 99.29

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Solution

The fourth proportional to 215.01, 322.37 and 99.29 is: 148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.01 : 322.37 = 99.29 : x
  2. Step 2: Convert to fraction form
    215.01/322.37 = 99.29/x
  3. Step 3: Cross multiply
    215.01x = 322.37 × 99.29
  4. Step 4: Simplify right side
    215.01x = 32,009.96
  5. Step 5: Solve for x
    x = 32,009.96/215.01
  6. Step 6: Final answer
    x = 148.88

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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.