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Finding the Fourth Proportional to 467.14, 700.71 and 178.51

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Solution

The fourth proportional to 467.14, 700.71 and 178.51 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.14 : 700.71 = 178.51 : x
  2. Step 2: Convert to fraction form
    467.14/700.71 = 178.51/x
  3. Step 3: Cross multiply
    467.14x = 700.71 × 178.51
  4. Step 4: Simplify right side
    467.14x = 125,083.74
  5. Step 5: Solve for x
    x = 125,083.74/467.14
  6. Step 6: Final answer
    x = 267.77

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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.