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Finding the Fourth Proportional to 313.29, 469.89 and 96.87

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Solution

The fourth proportional to 313.29, 469.89 and 96.87 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 469.89 = 96.87 : x
  2. Step 2: Convert to fraction form
    313.29/469.89 = 96.87/x
  3. Step 3: Cross multiply
    313.29x = 469.89 × 96.87
  4. Step 4: Simplify right side
    313.29x = 45,518.24
  5. Step 5: Solve for x
    x = 45,518.24/313.29
  6. Step 6: Final answer
    x = 145.29

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Why These Related Problems?

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