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Finding the Fourth Proportional to 312.10, 468.16 and 183.76

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Solution

The fourth proportional to 312.10, 468.16 and 183.76 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 468.16 = 183.76 : x
  2. Step 2: Convert to fraction form
    312.10/468.16 = 183.76/x
  3. Step 3: Cross multiply
    312.10x = 468.16 × 183.76
  4. Step 4: Simplify right side
    312.10x = 86,029.08
  5. Step 5: Solve for x
    x = 86,029.08/312.10
  6. Step 6: Final answer
    x = 275.65

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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.