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Finding the Fourth Proportional to 209.53, 314.40 and 94.06

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Solution

The fourth proportional to 209.53, 314.40 and 94.06 is: 141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 314.40 = 94.06 : x
  2. Step 2: Convert to fraction form
    209.53/314.40 = 94.06/x
  3. Step 3: Cross multiply
    209.53x = 314.40 × 94.06
  4. Step 4: Simplify right side
    209.53x = 29,571.91
  5. Step 5: Solve for x
    x = 29,571.91/209.53
  6. Step 6: Final answer
    x = 141.13

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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.