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Finding the Fourth Proportional to 421.49, 632.23 and 178.02

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Solution

The fourth proportional to 421.49, 632.23 and 178.02 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.49 : 632.23 = 178.02 : x
  2. Step 2: Convert to fraction form
    421.49/632.23 = 178.02/x
  3. Step 3: Cross multiply
    421.49x = 632.23 × 178.02
  4. Step 4: Simplify right side
    421.49x = 112,547.77
  5. Step 5: Solve for x
    x = 112,547.77/421.49
  6. Step 6: Final answer
    x = 267.02

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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.