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Finding the Fourth Proportional to 209.04, 288.16 and 135.32

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Solution

The fourth proportional to 209.04, 288.16 and 135.32 is: 186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.04 : 288.16 = 135.32 : x
  2. Step 2: Convert to fraction form
    209.04/288.16 = 135.32/x
  3. Step 3: Cross multiply
    209.04x = 288.16 × 135.32
  4. Step 4: Simplify right side
    209.04x = 38,993.81
  5. Step 5: Solve for x
    x = 38,993.81/209.04
  6. Step 6: Final answer
    x = 186.54

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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.