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Finding the Fourth Proportional to 425.19, 637.54 and 178.19

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Solution

The fourth proportional to 425.19, 637.54 and 178.19 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.19 : 637.54 = 178.19 : x
  2. Step 2: Convert to fraction form
    425.19/637.54 = 178.19/x
  3. Step 3: Cross multiply
    425.19x = 637.54 × 178.19
  4. Step 4: Simplify right side
    425.19x = 113,603.25
  5. Step 5: Solve for x
    x = 113,603.25/425.19
  6. Step 6: Final answer
    x = 267.18

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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.