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Finding the Fourth Proportional to 208.62, 313.07 and 140.00

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Solution

The fourth proportional to 208.62, 313.07 and 140.00 is: 210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.62 : 313.07 = 140.00 : x
  2. Step 2: Convert to fraction form
    208.62/313.07 = 140.00/x
  3. Step 3: Cross multiply
    208.62x = 313.07 × 140.00
  4. Step 4: Simplify right side
    208.62x = 43,827.53
  5. Step 5: Solve for x
    x = 43,827.53/208.62
  6. Step 6: Final answer
    x = 210.08

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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.