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Finding the Fourth Proportional to 176.25, 264.53 and 99.29

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Solution

The fourth proportional to 176.25, 264.53 and 99.29 is: 149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.25 : 264.53 = 99.29 : x
  2. Step 2: Convert to fraction form
    176.25/264.53 = 99.29/x
  3. Step 3: Cross multiply
    176.25x = 264.53 × 99.29
  4. Step 4: Simplify right side
    176.25x = 26,266.09
  5. Step 5: Solve for x
    x = 26,266.09/176.25
  6. Step 6: Final answer
    x = 149.02

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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.