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Finding the Fourth Proportional to 421.84, 632.76 and 178.36

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Solution

The fourth proportional to 421.84, 632.76 and 178.36 is: 267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.84 : 632.76 = 178.36 : x
  2. Step 2: Convert to fraction form
    421.84/632.76 = 178.36/x
  3. Step 3: Cross multiply
    421.84x = 632.76 × 178.36
  4. Step 4: Simplify right side
    421.84x = 112,859.07
  5. Step 5: Solve for x
    x = 112,859.07/421.84
  6. Step 6: Final answer
    x = 267.54

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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.