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Finding the Fourth Proportional to 210.51, 314.29 and 198.23

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Solution

The fourth proportional to 210.51, 314.29 and 198.23 is: 295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.51 : 314.29 = 198.23 : x
  2. Step 2: Convert to fraction form
    210.51/314.29 = 198.23/x
  3. Step 3: Cross multiply
    210.51x = 314.29 × 198.23
  4. Step 4: Simplify right side
    210.51x = 62,300.38
  5. Step 5: Solve for x
    x = 62,300.38/210.51
  6. Step 6: Final answer
    x = 295.95

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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.