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Finding the Fourth Proportional to 208.02, 287.07 and 114.77

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Solution

The fourth proportional to 208.02, 287.07 and 114.77 is: 158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.02 : 287.07 = 114.77 : x
  2. Step 2: Convert to fraction form
    208.02/287.07 = 114.77/x
  3. Step 3: Cross multiply
    208.02x = 287.07 × 114.77
  4. Step 4: Simplify right side
    208.02x = 32,946.02
  5. Step 5: Solve for x
    x = 32,946.02/208.02
  6. Step 6: Final answer
    x = 158.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.