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Finding the Fourth Proportional to 170.50, 235 and 135.67

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Solution

The fourth proportional to 170.50, 235 and 135.67 is: 186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.50 : 235 = 135.67 : x
  2. Step 2: Convert to fraction form
    170.50/235 = 135.67/x
  3. Step 3: Cross multiply
    170.50x = 235 × 135.67
  4. Step 4: Simplify right side
    170.50x = 31,882.45
  5. Step 5: Solve for x
    x = 31,882.45/170.50
  6. Step 6: Final answer
    x = 186.99

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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.