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Finding the Fourth Proportional to 265.61, 397.54 and 213.90

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Solution

The fourth proportional to 265.61, 397.54 and 213.90 is: 320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.61 : 397.54 = 213.90 : x
  2. Step 2: Convert to fraction form
    265.61/397.54 = 213.90/x
  3. Step 3: Cross multiply
    265.61x = 397.54 × 213.90
  4. Step 4: Simplify right side
    265.61x = 85,033.81
  5. Step 5: Solve for x
    x = 85,033.81/265.61
  6. Step 6: Final answer
    x = 320.15

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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.