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Finding the Fourth Proportional to 370.59, 555.75 and 164.96

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Solution

The fourth proportional to 370.59, 555.75 and 164.96 is: 247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.59 : 555.75 = 164.96 : x
  2. Step 2: Convert to fraction form
    370.59/555.75 = 164.96/x
  3. Step 3: Cross multiply
    370.59x = 555.75 × 164.96
  4. Step 4: Simplify right side
    370.59x = 91,673.74
  5. Step 5: Solve for x
    x = 91,673.74/370.59
  6. Step 6: Final answer
    x = 247.37

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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.