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Finding the Fourth Proportional to 378.39, 567.52 and 134.88

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Solution

The fourth proportional to 378.39, 567.52 and 134.88 is: 202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.39 : 567.52 = 134.88 : x
  2. Step 2: Convert to fraction form
    378.39/567.52 = 134.88/x
  3. Step 3: Cross multiply
    378.39x = 567.52 × 134.88
  4. Step 4: Simplify right side
    378.39x = 76,547.10
  5. Step 5: Solve for x
    x = 76,547.10/378.39
  6. Step 6: Final answer
    x = 202.30

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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.