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Finding the Fourth Proportional to 210.36, 315.54 and 198.48

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Solution

The fourth proportional to 210.36, 315.54 and 198.48 is: 297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 315.54 = 198.48 : x
  2. Step 2: Convert to fraction form
    210.36/315.54 = 198.48/x
  3. Step 3: Cross multiply
    210.36x = 315.54 × 198.48
  4. Step 4: Simplify right side
    210.36x = 62,628.38
  5. Step 5: Solve for x
    x = 62,628.38/210.36
  6. Step 6: Final answer
    x = 297.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.