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Finding the Fourth Proportional to 208.76, 313.06 and 106

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Solution

The fourth proportional to 208.76, 313.06 and 106 is: 158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.76 : 313.06 = 106 : x
  2. Step 2: Convert to fraction form
    208.76/313.06 = 106/x
  3. Step 3: Cross multiply
    208.76x = 313.06 × 106
  4. Step 4: Simplify right side
    208.76x = 33,184.36
  5. Step 5: Solve for x
    x = 33,184.36/208.76
  6. Step 6: Final answer
    x = 158.96

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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.