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Finding the Fourth Proportional to 312.94, 469.46 and 96.50

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Solution

The fourth proportional to 312.94, 469.46 and 96.50 is: 144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 469.46 = 96.50 : x
  2. Step 2: Convert to fraction form
    312.94/469.46 = 96.50/x
  3. Step 3: Cross multiply
    312.94x = 469.46 × 96.50
  4. Step 4: Simplify right side
    312.94x = 45,302.41
  5. Step 5: Solve for x
    x = 45,302.41/312.94
  6. Step 6: Final answer
    x = 144.77

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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.