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Finding the Fourth Proportional to 362.88, 543.84 and 157.14

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Solution

The fourth proportional to 362.88, 543.84 and 157.14 is: 235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 543.84 = 157.14 : x
  2. Step 2: Convert to fraction form
    362.88/543.84 = 157.14/x
  3. Step 3: Cross multiply
    362.88x = 543.84 × 157.14
  4. Step 4: Simplify right side
    362.88x = 85,459.02
  5. Step 5: Solve for x
    x = 85,459.02/362.88
  6. Step 6: Final answer
    x = 235.50

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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.