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Finding the Fourth Proportional to 345.98, 477.47 and 198.66

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Solution

The fourth proportional to 345.98, 477.47 and 198.66 is: 274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 477.47 = 198.66 : x
  2. Step 2: Convert to fraction form
    345.98/477.47 = 198.66/x
  3. Step 3: Cross multiply
    345.98x = 477.47 × 198.66
  4. Step 4: Simplify right side
    345.98x = 94,854.19
  5. Step 5: Solve for x
    x = 94,854.19/345.98
  6. Step 6: Final answer
    x = 274.16

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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.