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Finding the Fourth Proportional to 210.13, 313.16 and 199.20

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Solution

The fourth proportional to 210.13, 313.16 and 199.20 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.13 : 313.16 = 199.20 : x
  2. Step 2: Convert to fraction form
    210.13/313.16 = 199.20/x
  3. Step 3: Cross multiply
    210.13x = 313.16 × 199.20
  4. Step 4: Simplify right side
    210.13x = 62,381.63
  5. Step 5: Solve for x
    x = 62,381.63/210.13
  6. Step 6: Final answer
    x = 296.87

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