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Finding the Fourth Proportional to 289.47, 434.06 and 135.32

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Solution

The fourth proportional to 289.47, 434.06 and 135.32 is: 202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.47 : 434.06 = 135.32 : x
  2. Step 2: Convert to fraction form
    289.47/434.06 = 135.32/x
  3. Step 3: Cross multiply
    289.47x = 434.06 × 135.32
  4. Step 4: Simplify right side
    289.47x = 58,734.15
  5. Step 5: Solve for x
    x = 58,734.15/289.47
  6. Step 6: Final answer
    x = 202.90

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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.