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Finding the Fourth Proportional to 170.51, 254.70 and 146.21

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Solution

The fourth proportional to 170.51, 254.70 and 146.21 is: 218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.51 : 254.70 = 146.21 : x
  2. Step 2: Convert to fraction form
    170.51/254.70 = 146.21/x
  3. Step 3: Cross multiply
    170.51x = 254.70 × 146.21
  4. Step 4: Simplify right side
    170.51x = 37,240.05
  5. Step 5: Solve for x
    x = 37,240.05/170.51
  6. Step 6: Final answer
    x = 218.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.