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Finding the Fourth Proportional to 249.95, 374.72 and 152.46

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Solution

The fourth proportional to 249.95, 374.72 and 152.46 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.95 : 374.72 = 152.46 : x
  2. Step 2: Convert to fraction form
    249.95/374.72 = 152.46/x
  3. Step 3: Cross multiply
    249.95x = 374.72 × 152.46
  4. Step 4: Simplify right side
    249.95x = 57,129.05
  5. Step 5: Solve for x
    x = 57,129.05/249.95
  6. Step 6: Final answer
    x = 228.57

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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.