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Finding the Fourth Proportional to 209.36, 314.16 and 178.16

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Solution

The fourth proportional to 209.36, 314.16 and 178.16 is: 267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.36 : 314.16 = 178.16 : x
  2. Step 2: Convert to fraction form
    209.36/314.16 = 178.16/x
  3. Step 3: Cross multiply
    209.36x = 314.16 × 178.16
  4. Step 4: Simplify right side
    209.36x = 55,970.75
  5. Step 5: Solve for x
    x = 55,970.75/209.36
  6. Step 6: Final answer
    x = 267.34

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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.