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Finding the Fourth Proportional to 313.07, 469.64 and 96.65

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Solution

The fourth proportional to 313.07, 469.64 and 96.65 is: 144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.07 : 469.64 = 96.65 : x
  2. Step 2: Convert to fraction form
    313.07/469.64 = 96.65/x
  3. Step 3: Cross multiply
    313.07x = 469.64 × 96.65
  4. Step 4: Simplify right side
    313.07x = 45,387.87
  5. Step 5: Solve for x
    x = 45,387.87/313.07
  6. Step 6: Final answer
    x = 144.98

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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.