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Finding the Fourth Proportional to 267.04, 400.58 and 145.54

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Solution

The fourth proportional to 267.04, 400.58 and 145.54 is: 218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.04 : 400.58 = 145.54 : x
  2. Step 2: Convert to fraction form
    267.04/400.58 = 145.54/x
  3. Step 3: Cross multiply
    267.04x = 400.58 × 145.54
  4. Step 4: Simplify right side
    267.04x = 58,300.41
  5. Step 5: Solve for x
    x = 58,300.41/267.04
  6. Step 6: Final answer
    x = 218.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.