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Finding the Fourth Proportional to 265.16, 397.10 and 203.78

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Solution

The fourth proportional to 265.16, 397.10 and 203.78 is: 305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.16 : 397.10 = 203.78 : x
  2. Step 2: Convert to fraction form
    265.16/397.10 = 203.78/x
  3. Step 3: Cross multiply
    265.16x = 397.10 × 203.78
  4. Step 4: Simplify right side
    265.16x = 80,921.04
  5. Step 5: Solve for x
    x = 80,921.04/265.16
  6. Step 6: Final answer
    x = 305.18

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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.