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Finding the Fourth Proportional to 215.95, 323.80 and 100.47

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Solution

The fourth proportional to 215.95, 323.80 and 100.47 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.95 : 323.80 = 100.47 : x
  2. Step 2: Convert to fraction form
    215.95/323.80 = 100.47/x
  3. Step 3: Cross multiply
    215.95x = 323.80 × 100.47
  4. Step 4: Simplify right side
    215.95x = 32,530.42
  5. Step 5: Solve for x
    x = 32,530.42/215.95
  6. Step 6: Final answer
    x = 150.64

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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.