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Finding the Fourth Proportional to 275.46, 412.55 and 145.14

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Solution

The fourth proportional to 275.46, 412.55 and 145.14 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.46 : 412.55 = 145.14 : x
  2. Step 2: Convert to fraction form
    275.46/412.55 = 145.14/x
  3. Step 3: Cross multiply
    275.46x = 412.55 × 145.14
  4. Step 4: Simplify right side
    275.46x = 59,877.51
  5. Step 5: Solve for x
    x = 59,877.51/275.46
  6. Step 6: Final answer
    x = 217.37

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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.