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Finding the Fourth Proportional to 530.98, 796.53 and 165.67

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Solution

The fourth proportional to 530.98, 796.53 and 165.67 is: 248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.98 : 796.53 = 165.67 : x
  2. Step 2: Convert to fraction form
    530.98/796.53 = 165.67/x
  3. Step 3: Cross multiply
    530.98x = 796.53 × 165.67
  4. Step 4: Simplify right side
    530.98x = 131,957.14
  5. Step 5: Solve for x
    x = 131,957.14/530.98
  6. Step 6: Final answer
    x = 248.52

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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.