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Finding the Fourth Proportional to 313.06, 469.65 and 96.63

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Solution

The fourth proportional to 313.06, 469.65 and 96.63 is: 144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.06 : 469.65 = 96.63 : x
  2. Step 2: Convert to fraction form
    313.06/469.65 = 96.63/x
  3. Step 3: Cross multiply
    313.06x = 469.65 × 96.63
  4. Step 4: Simplify right side
    313.06x = 45,379.45
  5. Step 5: Solve for x
    x = 45,379.45/313.06
  6. Step 6: Final answer
    x = 144.96

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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.