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Finding the Fourth Proportional to 209.99, 314.88 and 123.35

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Solution

The fourth proportional to 209.99, 314.88 and 123.35 is: 184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 314.88 = 123.35 : x
  2. Step 2: Convert to fraction form
    209.99/314.88 = 123.35/x
  3. Step 3: Cross multiply
    209.99x = 314.88 × 123.35
  4. Step 4: Simplify right side
    209.99x = 38,838.87
  5. Step 5: Solve for x
    x = 38,838.87/209.99
  6. Step 6: Final answer
    x = 184.96

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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.