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Finding the Fourth Proportional to 352.33, 528.51 and 146.91

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Solution

The fourth proportional to 352.33, 528.51 and 146.91 is: 220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.33 : 528.51 = 146.91 : x
  2. Step 2: Convert to fraction form
    352.33/528.51 = 146.91/x
  3. Step 3: Cross multiply
    352.33x = 528.51 × 146.91
  4. Step 4: Simplify right side
    352.33x = 77,643.40
  5. Step 5: Solve for x
    x = 77,643.40/352.33
  6. Step 6: Final answer
    x = 220.37

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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.