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Finding the Fourth Proportional to 215.14, 322.66 and 117.54

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Solution

The fourth proportional to 215.14, 322.66 and 117.54 is: 176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.14 : 322.66 = 117.54 : x
  2. Step 2: Convert to fraction form
    215.14/322.66 = 117.54/x
  3. Step 3: Cross multiply
    215.14x = 322.66 × 117.54
  4. Step 4: Simplify right side
    215.14x = 37,925.46
  5. Step 5: Solve for x
    x = 37,925.46/215.14
  6. Step 6: Final answer
    x = 176.28

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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.