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Finding the Fourth Proportional to 170.24, 234.36 and 147.22

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Solution

The fourth proportional to 170.24, 234.36 and 147.22 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 234.36 = 147.22 : x
  2. Step 2: Convert to fraction form
    170.24/234.36 = 147.22/x
  3. Step 3: Cross multiply
    170.24x = 234.36 × 147.22
  4. Step 4: Simplify right side
    170.24x = 34,501.89
  5. Step 5: Solve for x
    x = 34,501.89/170.24
  6. Step 6: Final answer
    x = 202.67

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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.