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Finding the Fourth Proportional to 267.74, 401.66 and 152.24

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Solution

The fourth proportional to 267.74, 401.66 and 152.24 is: 228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.74 : 401.66 = 152.24 : x
  2. Step 2: Convert to fraction form
    267.74/401.66 = 152.24/x
  3. Step 3: Cross multiply
    267.74x = 401.66 × 152.24
  4. Step 4: Simplify right side
    267.74x = 61,149.10
  5. Step 5: Solve for x
    x = 61,149.10/267.74
  6. Step 6: Final answer
    x = 228.39

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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.