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Finding the Fourth Proportional to 210.65, 291.92 and 198.50

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Solution

The fourth proportional to 210.65, 291.92 and 198.50 is: 275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.65 : 291.92 = 198.50 : x
  2. Step 2: Convert to fraction form
    210.65/291.92 = 198.50/x
  3. Step 3: Cross multiply
    210.65x = 291.92 × 198.50
  4. Step 4: Simplify right side
    210.65x = 57,943.67
  5. Step 5: Solve for x
    x = 57,943.67/210.65
  6. Step 6: Final answer
    x = 275.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.