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Finding the Fourth Proportional to 181.86, 251.28 and 152.70

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Solution

The fourth proportional to 181.86, 251.28 and 152.70 is: 210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 251.28 = 152.70 : x
  2. Step 2: Convert to fraction form
    181.86/251.28 = 152.70/x
  3. Step 3: Cross multiply
    181.86x = 251.28 × 152.70
  4. Step 4: Simplify right side
    181.86x = 38,370.46
  5. Step 5: Solve for x
    x = 38,370.46/181.86
  6. Step 6: Final answer
    x = 210.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.