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Finding the Fourth Proportional to 211.76, 315.76 and 203.48

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Solution

The fourth proportional to 211.76, 315.76 and 203.48 is: 303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.76 : 315.76 = 203.48 : x
  2. Step 2: Convert to fraction form
    211.76/315.76 = 203.48/x
  3. Step 3: Cross multiply
    211.76x = 315.76 × 203.48
  4. Step 4: Simplify right side
    211.76x = 64,250.84
  5. Step 5: Solve for x
    x = 64,250.84/211.76
  6. Step 6: Final answer
    x = 303.41

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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.