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Finding the Fourth Proportional to 176.46, 264.35 and 99.19

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Solution

The fourth proportional to 176.46, 264.35 and 99.19 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.46 : 264.35 = 99.19 : x
  2. Step 2: Convert to fraction form
    176.46/264.35 = 99.19/x
  3. Step 3: Cross multiply
    176.46x = 264.35 × 99.19
  4. Step 4: Simplify right side
    176.46x = 26,219.72
  5. Step 5: Solve for x
    x = 26,219.72/176.46
  6. Step 6: Final answer
    x = 148.59

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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.