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Finding the Fourth Proportional to 170, 234.08 and 145.38

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Solution

The fourth proportional to 170, 234.08 and 145.38 is: 200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170 : 234.08 = 145.38 : x
  2. Step 2: Convert to fraction form
    170/234.08 = 145.38/x
  3. Step 3: Cross multiply
    170x = 234.08 × 145.38
  4. Step 4: Simplify right side
    170x = 34,030.55
  5. Step 5: Solve for x
    x = 34,030.55/170
  6. Step 6: Final answer
    x = 200.18

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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.