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Finding the Fourth Proportional to 209.75, 314.65 and 65.46

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Solution

The fourth proportional to 209.75, 314.65 and 65.46 is: 98.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 314.65 = 65.46 : x
  2. Step 2: Convert to fraction form
    209.75/314.65 = 65.46/x
  3. Step 3: Cross multiply
    209.75x = 314.65 × 65.46
  4. Step 4: Simplify right side
    209.75x = 20,598.25
  5. Step 5: Solve for x
    x = 20,598.25/209.75
  6. Step 6: Final answer
    x = 98.21

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Why These Related Problems?

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