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Finding the Fourth Proportional to 421.51, 632.16 and 161.41

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Solution

The fourth proportional to 421.51, 632.16 and 161.41 is: 242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.51 : 632.16 = 161.41 : x
  2. Step 2: Convert to fraction form
    421.51/632.16 = 161.41/x
  3. Step 3: Cross multiply
    421.51x = 632.16 × 161.41
  4. Step 4: Simplify right side
    421.51x = 102,036.95
  5. Step 5: Solve for x
    x = 102,036.95/421.51
  6. Step 6: Final answer
    x = 242.07

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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.