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Finding the Fourth Proportional to 209.59, 314.45 and 65.32

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Solution

The fourth proportional to 209.59, 314.45 and 65.32 is: 98.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.59 : 314.45 = 65.32 : x
  2. Step 2: Convert to fraction form
    209.59/314.45 = 65.32/x
  3. Step 3: Cross multiply
    209.59x = 314.45 × 65.32
  4. Step 4: Simplify right side
    209.59x = 20,539.87
  5. Step 5: Solve for x
    x = 20,539.87/209.59
  6. Step 6: Final answer
    x = 98.00

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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.