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Finding the Fourth Proportional to 370.35, 555.78 and 164.86

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Solution

The fourth proportional to 370.35, 555.78 and 164.86 is: 247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.35 : 555.78 = 164.86 : x
  2. Step 2: Convert to fraction form
    370.35/555.78 = 164.86/x
  3. Step 3: Cross multiply
    370.35x = 555.78 × 164.86
  4. Step 4: Simplify right side
    370.35x = 91,625.89
  5. Step 5: Solve for x
    x = 91,625.89/370.35
  6. Step 6: Final answer
    x = 247.40

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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.