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Finding the Fourth Proportional to 261.65, 391.97 and 158.99

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Solution

The fourth proportional to 261.65, 391.97 and 158.99 is: 238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.65 : 391.97 = 158.99 : x
  2. Step 2: Convert to fraction form
    261.65/391.97 = 158.99/x
  3. Step 3: Cross multiply
    261.65x = 391.97 × 158.99
  4. Step 4: Simplify right side
    261.65x = 62,317.75
  5. Step 5: Solve for x
    x = 62,317.75/261.65
  6. Step 6: Final answer
    x = 238.17

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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.