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Finding the Fourth Proportional to 530.65, 795.84 and 165.25

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Solution

The fourth proportional to 530.65, 795.84 and 165.25 is: 247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.65 : 795.84 = 165.25 : x
  2. Step 2: Convert to fraction form
    530.65/795.84 = 165.25/x
  3. Step 3: Cross multiply
    530.65x = 795.84 × 165.25
  4. Step 4: Simplify right side
    530.65x = 131,512.56
  5. Step 5: Solve for x
    x = 131,512.56/530.65
  6. Step 6: Final answer
    x = 247.83

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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.