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Finding the Fourth Proportional to 253.06, 349.19 and 142.53

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Solution

The fourth proportional to 253.06, 349.19 and 142.53 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.06 : 349.19 = 142.53 : x
  2. Step 2: Convert to fraction form
    253.06/349.19 = 142.53/x
  3. Step 3: Cross multiply
    253.06x = 349.19 × 142.53
  4. Step 4: Simplify right side
    253.06x = 49,768.30
  5. Step 5: Solve for x
    x = 49,768.30/253.06
  6. Step 6: Final answer
    x = 196.67

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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.