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Finding the Fourth Proportional to 350.62, 525.54 and 165.40

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Solution

The fourth proportional to 350.62, 525.54 and 165.40 is: 247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.62 : 525.54 = 165.40 : x
  2. Step 2: Convert to fraction form
    350.62/525.54 = 165.40/x
  3. Step 3: Cross multiply
    350.62x = 525.54 × 165.40
  4. Step 4: Simplify right side
    350.62x = 86,924.32
  5. Step 5: Solve for x
    x = 86,924.32/350.62
  6. Step 6: Final answer
    x = 247.92

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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.