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Finding the Fourth Proportional to 211.53, 314.73 and 210.78

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Solution

The fourth proportional to 211.53, 314.73 and 210.78 is: 313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.53 : 314.73 = 210.78 : x
  2. Step 2: Convert to fraction form
    211.53/314.73 = 210.78/x
  3. Step 3: Cross multiply
    211.53x = 314.73 × 210.78
  4. Step 4: Simplify right side
    211.53x = 66,338.79
  5. Step 5: Solve for x
    x = 66,338.79/211.53
  6. Step 6: Final answer
    x = 313.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.