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Finding the Fourth Proportional to 208.65, 312.94 and 93.07

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Solution

The fourth proportional to 208.65, 312.94 and 93.07 is: 139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.65 : 312.94 = 93.07 : x
  2. Step 2: Convert to fraction form
    208.65/312.94 = 93.07/x
  3. Step 3: Cross multiply
    208.65x = 312.94 × 93.07
  4. Step 4: Simplify right side
    208.65x = 29,123.30
  5. Step 5: Solve for x
    x = 29,123.30/208.65
  6. Step 6: Final answer
    x = 139.58

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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.