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Finding the Fourth Proportional to 210.09, 289.83 and 136.38

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Solution

The fourth proportional to 210.09, 289.83 and 136.38 is: 188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.09 : 289.83 = 136.38 : x
  2. Step 2: Convert to fraction form
    210.09/289.83 = 136.38/x
  3. Step 3: Cross multiply
    210.09x = 289.83 × 136.38
  4. Step 4: Simplify right side
    210.09x = 39,527.02
  5. Step 5: Solve for x
    x = 39,527.02/210.09
  6. Step 6: Final answer
    x = 188.14

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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.