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Finding the Fourth Proportional to 215.37, 322.62 and 99.65

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Solution

The fourth proportional to 215.37, 322.62 and 99.65 is: 149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.37 : 322.62 = 99.65 : x
  2. Step 2: Convert to fraction form
    215.37/322.62 = 99.65/x
  3. Step 3: Cross multiply
    215.37x = 322.62 × 99.65
  4. Step 4: Simplify right side
    215.37x = 32,150.14
  5. Step 5: Solve for x
    x = 32,150.14/215.37
  6. Step 6: Final answer
    x = 149.28

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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.