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Finding the Fourth Proportional to 312.88, 469.38 and 120.50

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Solution

The fourth proportional to 312.88, 469.38 and 120.50 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.88 : 469.38 = 120.50 : x
  2. Step 2: Convert to fraction form
    312.88/469.38 = 120.50/x
  3. Step 3: Cross multiply
    312.88x = 469.38 × 120.50
  4. Step 4: Simplify right side
    312.88x = 56,560.29
  5. Step 5: Solve for x
    x = 56,560.29/312.88
  6. Step 6: Final answer
    x = 180.77

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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.