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Finding the Fourth Proportional to 209.04, 288.64 and 157.20

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Solution

The fourth proportional to 209.04, 288.64 and 157.20 is: 217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.04 : 288.64 = 157.20 : x
  2. Step 2: Convert to fraction form
    209.04/288.64 = 157.20/x
  3. Step 3: Cross multiply
    209.04x = 288.64 × 157.20
  4. Step 4: Simplify right side
    209.04x = 45,374.21
  5. Step 5: Solve for x
    x = 45,374.21/209.04
  6. Step 6: Final answer
    x = 217.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.