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Finding the Fourth Proportional to 291.96, 438.06 and 129.66

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Solution

The fourth proportional to 291.96, 438.06 and 129.66 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.96 : 438.06 = 129.66 : x
  2. Step 2: Convert to fraction form
    291.96/438.06 = 129.66/x
  3. Step 3: Cross multiply
    291.96x = 438.06 × 129.66
  4. Step 4: Simplify right side
    291.96x = 56,798.86
  5. Step 5: Solve for x
    x = 56,798.86/291.96
  6. Step 6: Final answer
    x = 194.54

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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.