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Finding the Fourth Proportional to 209.50, 288.33 and 184.12

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Solution

The fourth proportional to 209.50, 288.33 and 184.12 is: 253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 288.33 = 184.12 : x
  2. Step 2: Convert to fraction form
    209.50/288.33 = 184.12/x
  3. Step 3: Cross multiply
    209.50x = 288.33 × 184.12
  4. Step 4: Simplify right side
    209.50x = 53,087.32
  5. Step 5: Solve for x
    x = 53,087.32/209.50
  6. Step 6: Final answer
    x = 253.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.