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Finding the Fourth Proportional to 209.42, 314.15 and 118.07

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Solution

The fourth proportional to 209.42, 314.15 and 118.07 is: 177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.42 : 314.15 = 118.07 : x
  2. Step 2: Convert to fraction form
    209.42/314.15 = 118.07/x
  3. Step 3: Cross multiply
    209.42x = 314.15 × 118.07
  4. Step 4: Simplify right side
    209.42x = 37,089.53
  5. Step 5: Solve for x
    x = 37,089.53/209.42
  6. Step 6: Final answer
    x = 177.11

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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.