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Finding the Fourth Proportional to 422.63, 633.53 and 148.50

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Solution

The fourth proportional to 422.63, 633.53 and 148.50 is: 222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 633.53 = 148.50 : x
  2. Step 2: Convert to fraction form
    422.63/633.53 = 148.50/x
  3. Step 3: Cross multiply
    422.63x = 633.53 × 148.50
  4. Step 4: Simplify right side
    422.63x = 94,079.21
  5. Step 5: Solve for x
    x = 94,079.21/422.63
  6. Step 6: Final answer
    x = 222.60

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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.