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Finding the Fourth Proportional to 320.42, 442.40 and 226.13

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Solution

The fourth proportional to 320.42, 442.40 and 226.13 is: 312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.42 : 442.40 = 226.13 : x
  2. Step 2: Convert to fraction form
    320.42/442.40 = 226.13/x
  3. Step 3: Cross multiply
    320.42x = 442.40 × 226.13
  4. Step 4: Simplify right side
    320.42x = 100,036.57
  5. Step 5: Solve for x
    x = 100,036.57/320.42
  6. Step 6: Final answer
    x = 312.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.