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Finding the Fourth Proportional to 215.47, 322.69 and 123.89

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Solution

The fourth proportional to 215.47, 322.69 and 123.89 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 322.69 = 123.89 : x
  2. Step 2: Convert to fraction form
    215.47/322.69 = 123.89/x
  3. Step 3: Cross multiply
    215.47x = 322.69 × 123.89
  4. Step 4: Simplify right side
    215.47x = 39,978.06
  5. Step 5: Solve for x
    x = 39,978.06/215.47
  6. Step 6: Final answer
    x = 185.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.