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Finding the Fourth Proportional to 212.25, 317.47 and 153.82

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Solution

The fourth proportional to 212.25, 317.47 and 153.82 is: 230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.25 : 317.47 = 153.82 : x
  2. Step 2: Convert to fraction form
    212.25/317.47 = 153.82/x
  3. Step 3: Cross multiply
    212.25x = 317.47 × 153.82
  4. Step 4: Simplify right side
    212.25x = 48,833.24
  5. Step 5: Solve for x
    x = 48,833.24/212.25
  6. Step 6: Final answer
    x = 230.07

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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.