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Finding the Fourth Proportional to 275.82, 414.21 and 152.37

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Solution

The fourth proportional to 275.82, 414.21 and 152.37 is: 228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 414.21 = 152.37 : x
  2. Step 2: Convert to fraction form
    275.82/414.21 = 152.37/x
  3. Step 3: Cross multiply
    275.82x = 414.21 × 152.37
  4. Step 4: Simplify right side
    275.82x = 63,113.18
  5. Step 5: Solve for x
    x = 63,113.18/275.82
  6. Step 6: Final answer
    x = 228.82

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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.