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Finding the Fourth Proportional to 247.36, 370.77 and 166

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Solution

The fourth proportional to 247.36, 370.77 and 166 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.36 : 370.77 = 166 : x
  2. Step 2: Convert to fraction form
    247.36/370.77 = 166/x
  3. Step 3: Cross multiply
    247.36x = 370.77 × 166
  4. Step 4: Simplify right side
    247.36x = 61,547.82
  5. Step 5: Solve for x
    x = 61,547.82/247.36
  6. Step 6: Final answer
    x = 248.82

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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.