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Finding the Fourth Proportional to 362.85, 544.53 and 157.50

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Solution

The fourth proportional to 362.85, 544.53 and 157.50 is: 236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.85 : 544.53 = 157.50 : x
  2. Step 2: Convert to fraction form
    362.85/544.53 = 157.50/x
  3. Step 3: Cross multiply
    362.85x = 544.53 × 157.50
  4. Step 4: Simplify right side
    362.85x = 85,763.48
  5. Step 5: Solve for x
    x = 85,763.48/362.85
  6. Step 6: Final answer
    x = 236.36

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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.