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Finding the Fourth Proportional to 378.61, 567.95 and 170.51

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Solution

The fourth proportional to 378.61, 567.95 and 170.51 is: 255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.61 : 567.95 = 170.51 : x
  2. Step 2: Convert to fraction form
    378.61/567.95 = 170.51/x
  3. Step 3: Cross multiply
    378.61x = 567.95 × 170.51
  4. Step 4: Simplify right side
    378.61x = 96,837.46
  5. Step 5: Solve for x
    x = 96,837.46/378.61
  6. Step 6: Final answer
    x = 255.77

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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.