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Finding the Fourth Proportional to 152.22, 210.60 and 132.85

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Solution

The fourth proportional to 152.22, 210.60 and 132.85 is: 183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 210.60 = 132.85 : x
  2. Step 2: Convert to fraction form
    152.22/210.60 = 132.85/x
  3. Step 3: Cross multiply
    152.22x = 210.60 × 132.85
  4. Step 4: Simplify right side
    152.22x = 27,978.21
  5. Step 5: Solve for x
    x = 27,978.21/152.22
  6. Step 6: Final answer
    x = 183.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.