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Finding the Fourth Proportional to 291.98, 438.20 and 176.55

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Solution

The fourth proportional to 291.98, 438.20 and 176.55 is: 264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.98 : 438.20 = 176.55 : x
  2. Step 2: Convert to fraction form
    291.98/438.20 = 176.55/x
  3. Step 3: Cross multiply
    291.98x = 438.20 × 176.55
  4. Step 4: Simplify right side
    291.98x = 77,363.33
  5. Step 5: Solve for x
    x = 77,363.33/291.98
  6. Step 6: Final answer
    x = 264.97

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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.