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Finding the Fourth Proportional to 265.48, 397.31 and 210.80

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Solution

The fourth proportional to 265.48, 397.31 and 210.80 is: 315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 397.31 = 210.80 : x
  2. Step 2: Convert to fraction form
    265.48/397.31 = 210.80/x
  3. Step 3: Cross multiply
    265.48x = 397.31 × 210.80
  4. Step 4: Simplify right side
    265.48x = 83,752.89
  5. Step 5: Solve for x
    x = 83,752.89/265.48
  6. Step 6: Final answer
    x = 315.48

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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.