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Finding the Fourth Proportional to 170.94, 256.50 and 146.46

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Solution

The fourth proportional to 170.94, 256.50 and 146.46 is: 219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 256.50 = 146.46 : x
  2. Step 2: Convert to fraction form
    170.94/256.50 = 146.46/x
  3. Step 3: Cross multiply
    170.94x = 256.50 × 146.46
  4. Step 4: Simplify right side
    170.94x = 37,566.99
  5. Step 5: Solve for x
    x = 37,566.99/170.94
  6. Step 6: Final answer
    x = 219.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.