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Finding the Fourth Proportional to 140.93, 211.34 and 139.82

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Solution

The fourth proportional to 140.93, 211.34 and 139.82 is: 209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.93 : 211.34 = 139.82 : x
  2. Step 2: Convert to fraction form
    140.93/211.34 = 139.82/x
  3. Step 3: Cross multiply
    140.93x = 211.34 × 139.82
  4. Step 4: Simplify right side
    140.93x = 29,547.80
  5. Step 5: Solve for x
    x = 29,547.80/140.93
  6. Step 6: Final answer
    x = 209.67

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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.