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Finding the Fourth Proportional to 210.18, 288.15 and 206.99

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Solution

The fourth proportional to 210.18, 288.15 and 206.99 is: 283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.18 : 288.15 = 206.99 : x
  2. Step 2: Convert to fraction form
    210.18/288.15 = 206.99/x
  3. Step 3: Cross multiply
    210.18x = 288.15 × 206.99
  4. Step 4: Simplify right side
    210.18x = 59,642.73
  5. Step 5: Solve for x
    x = 59,642.73/210.18
  6. Step 6: Final answer
    x = 283.77

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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.