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Finding the Fourth Proportional to 209.40, 314.16 and 118.16

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Solution

The fourth proportional to 209.40, 314.16 and 118.16 is: 177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.40 : 314.16 = 118.16 : x
  2. Step 2: Convert to fraction form
    209.40/314.16 = 118.16/x
  3. Step 3: Cross multiply
    209.40x = 314.16 × 118.16
  4. Step 4: Simplify right side
    209.40x = 37,118.98
  5. Step 5: Solve for x
    x = 37,118.98/209.40
  6. Step 6: Final answer
    x = 177.27

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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.