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Finding the Fourth Proportional to 312.46, 469.70 and 175.77

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Solution

The fourth proportional to 312.46, 469.70 and 175.77 is: 264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.46 : 469.70 = 175.77 : x
  2. Step 2: Convert to fraction form
    312.46/469.70 = 175.77/x
  3. Step 3: Cross multiply
    312.46x = 469.70 × 175.77
  4. Step 4: Simplify right side
    312.46x = 82,558.95
  5. Step 5: Solve for x
    x = 82,558.95/312.46
  6. Step 6: Final answer
    x = 264.22

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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.