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Finding the Fourth Proportional to 208.19, 312.51 and 156.98

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Solution

The fourth proportional to 208.19, 312.51 and 156.98 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.19 : 312.51 = 156.98 : x
  2. Step 2: Convert to fraction form
    208.19/312.51 = 156.98/x
  3. Step 3: Cross multiply
    208.19x = 312.51 × 156.98
  4. Step 4: Simplify right side
    208.19x = 49,057.82
  5. Step 5: Solve for x
    x = 49,057.82/208.19
  6. Step 6: Final answer
    x = 235.64

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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.