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Finding the Fourth Proportional to 152.89, 210.52 and 134.37

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Solution

The fourth proportional to 152.89, 210.52 and 134.37 is: 185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.89 : 210.52 = 134.37 : x
  2. Step 2: Convert to fraction form
    152.89/210.52 = 134.37/x
  3. Step 3: Cross multiply
    152.89x = 210.52 × 134.37
  4. Step 4: Simplify right side
    152.89x = 28,287.57
  5. Step 5: Solve for x
    x = 28,287.57/152.89
  6. Step 6: Final answer
    x = 185.02

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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.