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Finding the Fourth Proportional to 291.35, 436.69 and 117.91

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Solution

The fourth proportional to 291.35, 436.69 and 117.91 is: 176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.35 : 436.69 = 117.91 : x
  2. Step 2: Convert to fraction form
    291.35/436.69 = 117.91/x
  3. Step 3: Cross multiply
    291.35x = 436.69 × 117.91
  4. Step 4: Simplify right side
    291.35x = 51,490.12
  5. Step 5: Solve for x
    x = 51,490.12/291.35
  6. Step 6: Final answer
    x = 176.73

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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.