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Finding the Fourth Proportional to 210.76, 314.27 and 202.48

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Solution

The fourth proportional to 210.76, 314.27 and 202.48 is: 301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.76 : 314.27 = 202.48 : x
  2. Step 2: Convert to fraction form
    210.76/314.27 = 202.48/x
  3. Step 3: Cross multiply
    210.76x = 314.27 × 202.48
  4. Step 4: Simplify right side
    210.76x = 63,633.39
  5. Step 5: Solve for x
    x = 63,633.39/210.76
  6. Step 6: Final answer
    x = 301.92

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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.