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Finding the Fourth Proportional to 312.42, 468.53 and 202.85

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Solution

The fourth proportional to 312.42, 468.53 and 202.85 is: 304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.42 : 468.53 = 202.85 : x
  2. Step 2: Convert to fraction form
    312.42/468.53 = 202.85/x
  3. Step 3: Cross multiply
    312.42x = 468.53 × 202.85
  4. Step 4: Simplify right side
    312.42x = 95,044.25
  5. Step 5: Solve for x
    x = 95,044.25/312.42
  6. Step 6: Final answer
    x = 304.22

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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.