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Finding the Fourth Proportional to 170.42, 257.06 and 160.44

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Solution

The fourth proportional to 170.42, 257.06 and 160.44 is: 242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 257.06 = 160.44 : x
  2. Step 2: Convert to fraction form
    170.42/257.06 = 160.44/x
  3. Step 3: Cross multiply
    170.42x = 257.06 × 160.44
  4. Step 4: Simplify right side
    170.42x = 41,242.71
  5. Step 5: Solve for x
    x = 41,242.71/170.42
  6. Step 6: Final answer
    x = 242.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.