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Finding the Fourth Proportional to 209.48, 314.14 and 93.98

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Solution

The fourth proportional to 209.48, 314.14 and 93.98 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.48 : 314.14 = 93.98 : x
  2. Step 2: Convert to fraction form
    209.48/314.14 = 93.98/x
  3. Step 3: Cross multiply
    209.48x = 314.14 × 93.98
  4. Step 4: Simplify right side
    209.48x = 29,522.88
  5. Step 5: Solve for x
    x = 29,522.88/209.48
  6. Step 6: Final answer
    x = 140.93

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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.