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Finding the Fourth Proportional to 215.53, 298.81 and 208.02

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Solution

The fourth proportional to 215.53, 298.81 and 208.02 is: 288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.53 : 298.81 = 208.02 : x
  2. Step 2: Convert to fraction form
    215.53/298.81 = 208.02/x
  3. Step 3: Cross multiply
    215.53x = 298.81 × 208.02
  4. Step 4: Simplify right side
    215.53x = 62,158.46
  5. Step 5: Solve for x
    x = 62,158.46/215.53
  6. Step 6: Final answer
    x = 288.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.