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Finding the Fourth Proportional to 209.61, 288.93 and 157.07

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Solution

The fourth proportional to 209.61, 288.93 and 157.07 is: 216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 288.93 = 157.07 : x
  2. Step 2: Convert to fraction form
    209.61/288.93 = 157.07/x
  3. Step 3: Cross multiply
    209.61x = 288.93 × 157.07
  4. Step 4: Simplify right side
    209.61x = 45,380.79
  5. Step 5: Solve for x
    x = 45,380.79/209.61
  6. Step 6: Final answer
    x = 216.50

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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.