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Finding the Fourth Proportional to 296.93, 444.68 and 167.06

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Solution

The fourth proportional to 296.93, 444.68 and 167.06 is: 250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.93 : 444.68 = 167.06 : x
  2. Step 2: Convert to fraction form
    296.93/444.68 = 167.06/x
  3. Step 3: Cross multiply
    296.93x = 444.68 × 167.06
  4. Step 4: Simplify right side
    296.93x = 74,288.24
  5. Step 5: Solve for x
    x = 74,288.24/296.93
  6. Step 6: Final answer
    x = 250.19

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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.