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Finding the Fourth Proportional to 208.64, 313.02 and 98.96

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Solution

The fourth proportional to 208.64, 313.02 and 98.96 is: 148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 313.02 = 98.96 : x
  2. Step 2: Convert to fraction form
    208.64/313.02 = 98.96/x
  3. Step 3: Cross multiply
    208.64x = 313.02 × 98.96
  4. Step 4: Simplify right side
    208.64x = 30,976.46
  5. Step 5: Solve for x
    x = 30,976.46/208.64
  6. Step 6: Final answer
    x = 148.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.