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Finding the Fourth Proportional to 170.24, 254.04 and 152.01

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Solution

The fourth proportional to 170.24, 254.04 and 152.01 is: 226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 254.04 = 152.01 : x
  2. Step 2: Convert to fraction form
    170.24/254.04 = 152.01/x
  3. Step 3: Cross multiply
    170.24x = 254.04 × 152.01
  4. Step 4: Simplify right side
    170.24x = 38,616.62
  5. Step 5: Solve for x
    x = 38,616.62/170.24
  6. Step 6: Final answer
    x = 226.84

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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.