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Finding the Fourth Proportional to 176.60, 264.85 and 53.21

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Solution

The fourth proportional to 176.60, 264.85 and 53.21 is: 79.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.60 : 264.85 = 53.21 : x
  2. Step 2: Convert to fraction form
    176.60/264.85 = 53.21/x
  3. Step 3: Cross multiply
    176.60x = 264.85 × 53.21
  4. Step 4: Simplify right side
    176.60x = 14,092.40
  5. Step 5: Solve for x
    x = 14,092.40/176.60
  6. Step 6: Final answer
    x = 79.80

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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.