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Finding the Fourth Proportional to 370.08, 554.76 and 164.46

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Solution

The fourth proportional to 370.08, 554.76 and 164.46 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.08 : 554.76 = 164.46 : x
  2. Step 2: Convert to fraction form
    370.08/554.76 = 164.46/x
  3. Step 3: Cross multiply
    370.08x = 554.76 × 164.46
  4. Step 4: Simplify right side
    370.08x = 91,235.83
  5. Step 5: Solve for x
    x = 91,235.83/370.08
  6. Step 6: Final answer
    x = 246.53

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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.