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Finding the Fourth Proportional to 209, 313.46 and 99.27

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Solution

The fourth proportional to 209, 313.46 and 99.27 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 313.46 = 99.27 : x
  2. Step 2: Convert to fraction form
    209/313.46 = 99.27/x
  3. Step 3: Cross multiply
    209x = 313.46 × 99.27
  4. Step 4: Simplify right side
    209x = 31,117.17
  5. Step 5: Solve for x
    x = 31,117.17/209
  6. Step 6: Final answer
    x = 148.89

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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.