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Finding the Fourth Proportional to 253.20, 381.50 and 210.81

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Solution

The fourth proportional to 253.20, 381.50 and 210.81 is: 317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.20 : 381.50 = 210.81 : x
  2. Step 2: Convert to fraction form
    253.20/381.50 = 210.81/x
  3. Step 3: Cross multiply
    253.20x = 381.50 × 210.81
  4. Step 4: Simplify right side
    253.20x = 80,424.02
  5. Step 5: Solve for x
    x = 80,424.02/253.20
  6. Step 6: Final answer
    x = 317.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.