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Finding the Fourth Proportional to 178.25, 267.24 and 70.07

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Solution

The fourth proportional to 178.25, 267.24 and 70.07 is: 105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 267.24 = 70.07 : x
  2. Step 2: Convert to fraction form
    178.25/267.24 = 70.07/x
  3. Step 3: Cross multiply
    178.25x = 267.24 × 70.07
  4. Step 4: Simplify right side
    178.25x = 18,725.51
  5. Step 5: Solve for x
    x = 18,725.51/178.25
  6. Step 6: Final answer
    x = 105.05

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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.