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Finding the Fourth Proportional to 209.68, 314.53 and 118.45

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Solution

The fourth proportional to 209.68, 314.53 and 118.45 is: 177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.68 : 314.53 = 118.45 : x
  2. Step 2: Convert to fraction form
    209.68/314.53 = 118.45/x
  3. Step 3: Cross multiply
    209.68x = 314.53 × 118.45
  4. Step 4: Simplify right side
    209.68x = 37,256.18
  5. Step 5: Solve for x
    x = 37,256.18/209.68
  6. Step 6: Final answer
    x = 177.68

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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.