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Finding the Fourth Proportional to 352.45, 528.13 and 178.85

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Solution

The fourth proportional to 352.45, 528.13 and 178.85 is: 268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.45 : 528.13 = 178.85 : x
  2. Step 2: Convert to fraction form
    352.45/528.13 = 178.85/x
  3. Step 3: Cross multiply
    352.45x = 528.13 × 178.85
  4. Step 4: Simplify right side
    352.45x = 94,457.59
  5. Step 5: Solve for x
    x = 94,457.59/352.45
  6. Step 6: Final answer
    x = 268.00

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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.