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Finding the Fourth Proportional to 235.64, 352.01 and 170.12

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Solution

The fourth proportional to 235.64, 352.01 and 170.12 is: 254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 352.01 = 170.12 : x
  2. Step 2: Convert to fraction form
    235.64/352.01 = 170.12/x
  3. Step 3: Cross multiply
    235.64x = 352.01 × 170.12
  4. Step 4: Simplify right side
    235.64x = 59,881.33
  5. Step 5: Solve for x
    x = 59,881.33/235.64
  6. Step 6: Final answer
    x = 254.13

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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.