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Finding the Fourth Proportional to 160.99, 240.30 and 140.47

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Solution

The fourth proportional to 160.99, 240.30 and 140.47 is: 209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.99 : 240.30 = 140.47 : x
  2. Step 2: Convert to fraction form
    160.99/240.30 = 140.47/x
  3. Step 3: Cross multiply
    160.99x = 240.30 × 140.47
  4. Step 4: Simplify right side
    160.99x = 33,754.34
  5. Step 5: Solve for x
    x = 33,754.34/160.99
  6. Step 6: Final answer
    x = 209.67

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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.