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Finding the Fourth Proportional to 210.40, 288.63 and 205.00

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Solution

The fourth proportional to 210.40, 288.63 and 205.00 is: 281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.40 : 288.63 = 205.00 : x
  2. Step 2: Convert to fraction form
    210.40/288.63 = 205.00/x
  3. Step 3: Cross multiply
    210.40x = 288.63 × 205.00
  4. Step 4: Simplify right side
    210.40x = 59,168.43
  5. Step 5: Solve for x
    x = 59,168.43/210.40
  6. Step 6: Final answer
    x = 281.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.