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Finding the Fourth Proportional to 340.19, 469.42 and 200.31

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Solution

The fourth proportional to 340.19, 469.42 and 200.31 is: 276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.19 : 469.42 = 200.31 : x
  2. Step 2: Convert to fraction form
    340.19/469.42 = 200.31/x
  3. Step 3: Cross multiply
    340.19x = 469.42 × 200.31
  4. Step 4: Simplify right side
    340.19x = 94,029.52
  5. Step 5: Solve for x
    x = 94,029.52/340.19
  6. Step 6: Final answer
    x = 276.40

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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.