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Finding the Fourth Proportional to 301.02, 415.34 and 176.67

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Solution

The fourth proportional to 301.02, 415.34 and 176.67 is: 243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 415.34 = 176.67 : x
  2. Step 2: Convert to fraction form
    301.02/415.34 = 176.67/x
  3. Step 3: Cross multiply
    301.02x = 415.34 × 176.67
  4. Step 4: Simplify right side
    301.02x = 73,377.23
  5. Step 5: Solve for x
    x = 73,377.23/301.02
  6. Step 6: Final answer
    x = 243.76

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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.