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Finding the Fourth Proportional to 209.47, 313.86 and 128.14

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Solution

The fourth proportional to 209.47, 313.86 and 128.14 is: 192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.47 : 313.86 = 128.14 : x
  2. Step 2: Convert to fraction form
    209.47/313.86 = 128.14/x
  3. Step 3: Cross multiply
    209.47x = 313.86 × 128.14
  4. Step 4: Simplify right side
    209.47x = 40,218.02
  5. Step 5: Solve for x
    x = 40,218.02/209.47
  6. Step 6: Final answer
    x = 192.00

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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.