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Finding the Fourth Proportional to 390.50, 586 and 162.50

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Solution

The fourth proportional to 390.50, 586 and 162.50 is: 243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.50 : 586 = 162.50 : x
  2. Step 2: Convert to fraction form
    390.50/586 = 162.50/x
  3. Step 3: Cross multiply
    390.50x = 586 × 162.50
  4. Step 4: Simplify right side
    390.50x = 95,225
  5. Step 5: Solve for x
    x = 95,225/390.50
  6. Step 6: Final answer
    x = 243.85

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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.