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Finding the Fourth Proportional to 176.31, 264.57 and 66.65

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Solution

The fourth proportional to 176.31, 264.57 and 66.65 is: 100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.31 : 264.57 = 66.65 : x
  2. Step 2: Convert to fraction form
    176.31/264.57 = 66.65/x
  3. Step 3: Cross multiply
    176.31x = 264.57 × 66.65
  4. Step 4: Simplify right side
    176.31x = 17,632.27
  5. Step 5: Solve for x
    x = 17,632.27/176.31
  6. Step 6: Final answer
    x = 100.01

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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.