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Finding the Fourth Proportional to 312.84, 469.37 and 139.63

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Solution

The fourth proportional to 312.84, 469.37 and 139.63 is: 209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 469.37 = 139.63 : x
  2. Step 2: Convert to fraction form
    312.84/469.37 = 139.63/x
  3. Step 3: Cross multiply
    312.84x = 469.37 × 139.63
  4. Step 4: Simplify right side
    312.84x = 65,538.13
  5. Step 5: Solve for x
    x = 65,538.13/312.84
  6. Step 6: Final answer
    x = 209.49

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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.