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Finding the Fourth Proportional to 215.52, 322.14 and 178.80

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Solution

The fourth proportional to 215.52, 322.14 and 178.80 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 322.14 = 178.80 : x
  2. Step 2: Convert to fraction form
    215.52/322.14 = 178.80/x
  3. Step 3: Cross multiply
    215.52x = 322.14 × 178.80
  4. Step 4: Simplify right side
    215.52x = 57,598.63
  5. Step 5: Solve for x
    x = 57,598.63/215.52
  6. Step 6: Final answer
    x = 267.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.