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Finding the Fourth Proportional to 352.66, 528.98 and 96.16

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Solution

The fourth proportional to 352.66, 528.98 and 96.16 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.66 : 528.98 = 96.16 : x
  2. Step 2: Convert to fraction form
    352.66/528.98 = 96.16/x
  3. Step 3: Cross multiply
    352.66x = 528.98 × 96.16
  4. Step 4: Simplify right side
    352.66x = 50,866.72
  5. Step 5: Solve for x
    x = 50,866.72/352.66
  6. Step 6: Final answer
    x = 144.24

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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.