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Finding the Fourth Proportional to 211.72, 315.56 and 210.02

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Solution

The fourth proportional to 211.72, 315.56 and 210.02 is: 313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.72 : 315.56 = 210.02 : x
  2. Step 2: Convert to fraction form
    211.72/315.56 = 210.02/x
  3. Step 3: Cross multiply
    211.72x = 315.56 × 210.02
  4. Step 4: Simplify right side
    211.72x = 66,273.91
  5. Step 5: Solve for x
    x = 66,273.91/211.72
  6. Step 6: Final answer
    x = 313.03

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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.