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Finding the Fourth Proportional to 340.16, 469.28 and 201.92

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Solution

The fourth proportional to 340.16, 469.28 and 201.92 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 469.28 = 201.92 : x
  2. Step 2: Convert to fraction form
    340.16/469.28 = 201.92/x
  3. Step 3: Cross multiply
    340.16x = 469.28 × 201.92
  4. Step 4: Simplify right side
    340.16x = 94,757.02
  5. Step 5: Solve for x
    x = 94,757.02/340.16
  6. Step 6: Final answer
    x = 278.57

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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.