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Finding the Fourth Proportional to 237.04, 355.40 and 164.84

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Solution

The fourth proportional to 237.04, 355.40 and 164.84 is: 247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.04 : 355.40 = 164.84 : x
  2. Step 2: Convert to fraction form
    237.04/355.40 = 164.84/x
  3. Step 3: Cross multiply
    237.04x = 355.40 × 164.84
  4. Step 4: Simplify right side
    237.04x = 58,584.14
  5. Step 5: Solve for x
    x = 58,584.14/237.04
  6. Step 6: Final answer
    x = 247.15

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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.