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Finding the Fourth Proportional to 274.23, 411.50 and 152.37

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Solution

The fourth proportional to 274.23, 411.50 and 152.37 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.23 : 411.50 = 152.37 : x
  2. Step 2: Convert to fraction form
    274.23/411.50 = 152.37/x
  3. Step 3: Cross multiply
    274.23x = 411.50 × 152.37
  4. Step 4: Simplify right side
    274.23x = 62,700.64
  5. Step 5: Solve for x
    x = 62,700.64/274.23
  6. Step 6: Final answer
    x = 228.64

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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.