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Finding the Fourth Proportional to 265.29, 397.98 and 135.27

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Solution

The fourth proportional to 265.29, 397.98 and 135.27 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.29 : 397.98 = 135.27 : x
  2. Step 2: Convert to fraction form
    265.29/397.98 = 135.27/x
  3. Step 3: Cross multiply
    265.29x = 397.98 × 135.27
  4. Step 4: Simplify right side
    265.29x = 53,834.75
  5. Step 5: Solve for x
    x = 53,834.75/265.29
  6. Step 6: Final answer
    x = 202.93

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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.