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Finding the Fourth Proportional to 265.67, 397.65 and 256.16

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Solution

The fourth proportional to 265.67, 397.65 and 256.16 is: 383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.67 : 397.65 = 256.16 : x
  2. Step 2: Convert to fraction form
    265.67/397.65 = 256.16/x
  3. Step 3: Cross multiply
    265.67x = 397.65 × 256.16
  4. Step 4: Simplify right side
    265.67x = 101,862.02
  5. Step 5: Solve for x
    x = 101,862.02/265.67
  6. Step 6: Final answer
    x = 383.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.