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Finding the Fourth Proportional to 210.80, 314 and 209.81

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Solution

The fourth proportional to 210.80, 314 and 209.81 is: 312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.80 : 314 = 209.81 : x
  2. Step 2: Convert to fraction form
    210.80/314 = 209.81/x
  3. Step 3: Cross multiply
    210.80x = 314 × 209.81
  4. Step 4: Simplify right side
    210.80x = 65,880.34
  5. Step 5: Solve for x
    x = 65,880.34/210.80
  6. Step 6: Final answer
    x = 312.53

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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.