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Finding the Fourth Proportional to 210.25, 316.10 and 193.18

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Solution

The fourth proportional to 210.25, 316.10 and 193.18 is: 290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.25 : 316.10 = 193.18 : x
  2. Step 2: Convert to fraction form
    210.25/316.10 = 193.18/x
  3. Step 3: Cross multiply
    210.25x = 316.10 × 193.18
  4. Step 4: Simplify right side
    210.25x = 61,064.20
  5. Step 5: Solve for x
    x = 61,064.20/210.25
  6. Step 6: Final answer
    x = 290.44

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