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Finding the Fourth Proportional to 340.47, 469.85 and 200.68

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Solution

The fourth proportional to 340.47, 469.85 and 200.68 is: 276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.47 : 469.85 = 200.68 : x
  2. Step 2: Convert to fraction form
    340.47/469.85 = 200.68/x
  3. Step 3: Cross multiply
    340.47x = 469.85 × 200.68
  4. Step 4: Simplify right side
    340.47x = 94,287.32
  5. Step 5: Solve for x
    x = 94,287.32/340.47
  6. Step 6: Final answer
    x = 276.93

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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.