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Finding the Fourth Proportional to 209.35, 288.65 and 135.64

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Solution

The fourth proportional to 209.35, 288.65 and 135.64 is: 187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.35 : 288.65 = 135.64 : x
  2. Step 2: Convert to fraction form
    209.35/288.65 = 135.64/x
  3. Step 3: Cross multiply
    209.35x = 288.65 × 135.64
  4. Step 4: Simplify right side
    209.35x = 39,150.36
  5. Step 5: Solve for x
    x = 39,150.36/209.35
  6. Step 6: Final answer
    x = 187.01

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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.