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Finding the Fourth Proportional to 340.30, 469.65 and 200.53

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Solution

The fourth proportional to 340.30, 469.65 and 200.53 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.30 : 469.65 = 200.53 : x
  2. Step 2: Convert to fraction form
    340.30/469.65 = 200.53/x
  3. Step 3: Cross multiply
    340.30x = 469.65 × 200.53
  4. Step 4: Simplify right side
    340.30x = 94,178.91
  5. Step 5: Solve for x
    x = 94,178.91/340.30
  6. Step 6: Final answer
    x = 276.75

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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.