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Finding the Fourth Proportional to 215.48, 322.45 and 189.97

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Solution

The fourth proportional to 215.48, 322.45 and 189.97 is: 284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.48 : 322.45 = 189.97 : x
  2. Step 2: Convert to fraction form
    215.48/322.45 = 189.97/x
  3. Step 3: Cross multiply
    215.48x = 322.45 × 189.97
  4. Step 4: Simplify right side
    215.48x = 61,254.55
  5. Step 5: Solve for x
    x = 61,254.55/215.48
  6. Step 6: Final answer
    x = 284.27

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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.