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Finding the Fourth Proportional to 210.96, 314.69 and 203.85

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Solution

The fourth proportional to 210.96, 314.69 and 203.85 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 314.69 = 203.85 : x
  2. Step 2: Convert to fraction form
    210.96/314.69 = 203.85/x
  3. Step 3: Cross multiply
    210.96x = 314.69 × 203.85
  4. Step 4: Simplify right side
    210.96x = 64,148.54
  5. Step 5: Solve for x
    x = 64,148.54/210.96
  6. Step 6: Final answer
    x = 304.08

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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.