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Finding the Fourth Proportional to 354.02, 530.83 and 110.48

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Solution

The fourth proportional to 354.02, 530.83 and 110.48 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.02 : 530.83 = 110.48 : x
  2. Step 2: Convert to fraction form
    354.02/530.83 = 110.48/x
  3. Step 3: Cross multiply
    354.02x = 530.83 × 110.48
  4. Step 4: Simplify right side
    354.02x = 58,645.55
  5. Step 5: Solve for x
    x = 58,645.55/354.02
  6. Step 6: Final answer
    x = 165.66

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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.