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Finding the Fourth Proportional to 210.40, 290.19 and 136.74

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Solution

The fourth proportional to 210.40, 290.19 and 136.74 is: 188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.40 : 290.19 = 136.74 : x
  2. Step 2: Convert to fraction form
    210.40/290.19 = 136.74/x
  3. Step 3: Cross multiply
    210.40x = 290.19 × 136.74
  4. Step 4: Simplify right side
    210.40x = 39,680.58
  5. Step 5: Solve for x
    x = 39,680.58/210.40
  6. Step 6: Final answer
    x = 188.60

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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.