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Finding the Fourth Proportional to 176.12, 264.24 and 78.60

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Solution

The fourth proportional to 176.12, 264.24 and 78.60 is: 117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.12 : 264.24 = 78.60 : x
  2. Step 2: Convert to fraction form
    176.12/264.24 = 78.60/x
  3. Step 3: Cross multiply
    176.12x = 264.24 × 78.60
  4. Step 4: Simplify right side
    176.12x = 20,769.26
  5. Step 5: Solve for x
    x = 20,769.26/176.12
  6. Step 6: Final answer
    x = 117.93

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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.