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Finding the Fourth Proportional to 421.67, 632.07 and 178.07

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Solution

The fourth proportional to 421.67, 632.07 and 178.07 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.67 : 632.07 = 178.07 : x
  2. Step 2: Convert to fraction form
    421.67/632.07 = 178.07/x
  3. Step 3: Cross multiply
    421.67x = 632.07 × 178.07
  4. Step 4: Simplify right side
    421.67x = 112,549.54
  5. Step 5: Solve for x
    x = 112,549.54/421.67
  6. Step 6: Final answer
    x = 266.91

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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.