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Finding the Fourth Proportional to 265.32, 398.28 and 121.34

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Solution

The fourth proportional to 265.32, 398.28 and 121.34 is: 182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.32 : 398.28 = 121.34 : x
  2. Step 2: Convert to fraction form
    265.32/398.28 = 121.34/x
  3. Step 3: Cross multiply
    265.32x = 398.28 × 121.34
  4. Step 4: Simplify right side
    265.32x = 48,325.30
  5. Step 5: Solve for x
    x = 48,325.30/265.32
  6. Step 6: Final answer
    x = 182.14

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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.