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Finding the Fourth Proportional to 340.48, 469.86 and 200.64

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Solution

The fourth proportional to 340.48, 469.86 and 200.64 is: 276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.48 : 469.86 = 200.64 : x
  2. Step 2: Convert to fraction form
    340.48/469.86 = 200.64/x
  3. Step 3: Cross multiply
    340.48x = 469.86 × 200.64
  4. Step 4: Simplify right side
    340.48x = 94,272.71
  5. Step 5: Solve for x
    x = 94,272.71/340.48
  6. Step 6: Final answer
    x = 276.89

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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.