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Finding the Fourth Proportional to 345.66, 477.04 and 198.34

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Solution

The fourth proportional to 345.66, 477.04 and 198.34 is: 273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.66 : 477.04 = 198.34 : x
  2. Step 2: Convert to fraction form
    345.66/477.04 = 198.34/x
  3. Step 3: Cross multiply
    345.66x = 477.04 × 198.34
  4. Step 4: Simplify right side
    345.66x = 94,616.11
  5. Step 5: Solve for x
    x = 94,616.11/345.66
  6. Step 6: Final answer
    x = 273.73

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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.