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Finding the Fourth Proportional to 161.91, 242.84 and 152.37

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Solution

The fourth proportional to 161.91, 242.84 and 152.37 is: 228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.91 : 242.84 = 152.37 : x
  2. Step 2: Convert to fraction form
    161.91/242.84 = 152.37/x
  3. Step 3: Cross multiply
    161.91x = 242.84 × 152.37
  4. Step 4: Simplify right side
    161.91x = 37,000.77
  5. Step 5: Solve for x
    x = 37,000.77/161.91
  6. Step 6: Final answer
    x = 228.53

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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.