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Finding the Fourth Proportional to 215.42, 323.14 and 99.83

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Solution

The fourth proportional to 215.42, 323.14 and 99.83 is: 149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 323.14 = 99.83 : x
  2. Step 2: Convert to fraction form
    215.42/323.14 = 99.83/x
  3. Step 3: Cross multiply
    215.42x = 323.14 × 99.83
  4. Step 4: Simplify right side
    215.42x = 32,259.81
  5. Step 5: Solve for x
    x = 32,259.81/215.42
  6. Step 6: Final answer
    x = 149.75

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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.