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Finding the Fourth Proportional to 313.01, 469.61 and 96.61

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Solution

The fourth proportional to 313.01, 469.61 and 96.61 is: 144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.01 : 469.61 = 96.61 : x
  2. Step 2: Convert to fraction form
    313.01/469.61 = 96.61/x
  3. Step 3: Cross multiply
    313.01x = 469.61 × 96.61
  4. Step 4: Simplify right side
    313.01x = 45,369.02
  5. Step 5: Solve for x
    x = 45,369.02/313.01
  6. Step 6: Final answer
    x = 144.94

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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.