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Finding the Fourth Proportional to 275.01, 412.74 and 145.16

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Solution

The fourth proportional to 275.01, 412.74 and 145.16 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.01 : 412.74 = 145.16 : x
  2. Step 2: Convert to fraction form
    275.01/412.74 = 145.16/x
  3. Step 3: Cross multiply
    275.01x = 412.74 × 145.16
  4. Step 4: Simplify right side
    275.01x = 59,911.27
  5. Step 5: Solve for x
    x = 59,911.27/275.01
  6. Step 6: Final answer
    x = 217.85

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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.