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Finding the Fourth Proportional to 289.32, 434.08 and 159.28

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Solution

The fourth proportional to 289.32, 434.08 and 159.28 is: 238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 434.08 = 159.28 : x
  2. Step 2: Convert to fraction form
    289.32/434.08 = 159.28/x
  3. Step 3: Cross multiply
    289.32x = 434.08 × 159.28
  4. Step 4: Simplify right side
    289.32x = 69,140.26
  5. Step 5: Solve for x
    x = 69,140.26/289.32
  6. Step 6: Final answer
    x = 238.98

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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.