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Finding the Fourth Proportional to 210.06, 313.92 and 198.36

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Solution

The fourth proportional to 210.06, 313.92 and 198.36 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 313.92 = 198.36 : x
  2. Step 2: Convert to fraction form
    210.06/313.92 = 198.36/x
  3. Step 3: Cross multiply
    210.06x = 313.92 × 198.36
  4. Step 4: Simplify right side
    210.06x = 62,269.17
  5. Step 5: Solve for x
    x = 62,269.17/210.06
  6. Step 6: Final answer
    x = 296.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.