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Finding the Fourth Proportional to 152.50, 210.33 and 97.23

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Solution

The fourth proportional to 152.50, 210.33 and 97.23 is: 134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.50 : 210.33 = 97.23 : x
  2. Step 2: Convert to fraction form
    152.50/210.33 = 97.23/x
  3. Step 3: Cross multiply
    152.50x = 210.33 × 97.23
  4. Step 4: Simplify right side
    152.50x = 20,450.39
  5. Step 5: Solve for x
    x = 20,450.39/152.50
  6. Step 6: Final answer
    x = 134.10

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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.