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Finding the Fourth Proportional to 210.74, 314.62 and 209.21

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Solution

The fourth proportional to 210.74, 314.62 and 209.21 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.74 : 314.62 = 209.21 : x
  2. Step 2: Convert to fraction form
    210.74/314.62 = 209.21/x
  3. Step 3: Cross multiply
    210.74x = 314.62 × 209.21
  4. Step 4: Simplify right side
    210.74x = 65,819.55
  5. Step 5: Solve for x
    x = 65,819.55/210.74
  6. Step 6: Final answer
    x = 312.33

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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.