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Finding the Fourth Proportional to 232.04, 320.40 and 199.16

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Solution

The fourth proportional to 232.04, 320.40 and 199.16 is: 275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.04 : 320.40 = 199.16 : x
  2. Step 2: Convert to fraction form
    232.04/320.40 = 199.16/x
  3. Step 3: Cross multiply
    232.04x = 320.40 × 199.16
  4. Step 4: Simplify right side
    232.04x = 63,810.86
  5. Step 5: Solve for x
    x = 63,810.86/232.04
  6. Step 6: Final answer
    x = 275.00

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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.