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Finding the Fourth Proportional to 209.58, 288.75 and 160.35

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Solution

The fourth proportional to 209.58, 288.75 and 160.35 is: 220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 288.75 = 160.35 : x
  2. Step 2: Convert to fraction form
    209.58/288.75 = 160.35/x
  3. Step 3: Cross multiply
    209.58x = 288.75 × 160.35
  4. Step 4: Simplify right side
    209.58x = 46,301.06
  5. Step 5: Solve for x
    x = 46,301.06/209.58
  6. Step 6: Final answer
    x = 220.92

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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.