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Finding the Fourth Proportional to 247.70, 341.93 and 180.51

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Solution

The fourth proportional to 247.70, 341.93 and 180.51 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.70 : 341.93 = 180.51 : x
  2. Step 2: Convert to fraction form
    247.70/341.93 = 180.51/x
  3. Step 3: Cross multiply
    247.70x = 341.93 × 180.51
  4. Step 4: Simplify right side
    247.70x = 61,719.94
  5. Step 5: Solve for x
    x = 61,719.94/247.70
  6. Step 6: Final answer
    x = 249.17

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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.