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Finding the Fourth Proportional to 265.19, 396.16 and 211.14

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Solution

The fourth proportional to 265.19, 396.16 and 211.14 is: 315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.19 : 396.16 = 211.14 : x
  2. Step 2: Convert to fraction form
    265.19/396.16 = 211.14/x
  3. Step 3: Cross multiply
    265.19x = 396.16 × 211.14
  4. Step 4: Simplify right side
    265.19x = 83,644.69
  5. Step 5: Solve for x
    x = 83,644.69/265.19
  6. Step 6: Final answer
    x = 315.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.