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Finding the Fourth Proportional to 140.94, 210.40 and 137.30

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Solution

The fourth proportional to 140.94, 210.40 and 137.30 is: 204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.94 : 210.40 = 137.30 : x
  2. Step 2: Convert to fraction form
    140.94/210.40 = 137.30/x
  3. Step 3: Cross multiply
    140.94x = 210.40 × 137.30
  4. Step 4: Simplify right side
    140.94x = 28,886.52
  5. Step 5: Solve for x
    x = 28,886.52/140.94
  6. Step 6: Final answer
    x = 204.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.