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Finding the Fourth Proportional to 296.06, 444.23 and 159.08

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Solution

The fourth proportional to 296.06, 444.23 and 159.08 is: 238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 444.23 = 159.08 : x
  2. Step 2: Convert to fraction form
    296.06/444.23 = 159.08/x
  3. Step 3: Cross multiply
    296.06x = 444.23 × 159.08
  4. Step 4: Simplify right side
    296.06x = 70,667.31
  5. Step 5: Solve for x
    x = 70,667.31/296.06
  6. Step 6: Final answer
    x = 238.69

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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.