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Finding the Fourth Proportional to 176.40, 264.15 and 146.12

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Solution

The fourth proportional to 176.40, 264.15 and 146.12 is: 218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 264.15 = 146.12 : x
  2. Step 2: Convert to fraction form
    176.40/264.15 = 146.12/x
  3. Step 3: Cross multiply
    176.40x = 264.15 × 146.12
  4. Step 4: Simplify right side
    176.40x = 38,596.28
  5. Step 5: Solve for x
    x = 38,596.28/176.40
  6. Step 6: Final answer
    x = 218.80

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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.