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Finding the Fourth Proportional to 140.19, 210 and 117.30

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Solution

The fourth proportional to 140.19, 210 and 117.30 is: 175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.19 : 210 = 117.30 : x
  2. Step 2: Convert to fraction form
    140.19/210 = 117.30/x
  3. Step 3: Cross multiply
    140.19x = 210 × 117.30
  4. Step 4: Simplify right side
    140.19x = 24,633
  5. Step 5: Solve for x
    x = 24,633/140.19
  6. Step 6: Final answer
    x = 175.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.