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Finding the Fourth Proportional to 253.01, 379.57 and 180.72

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Solution

The fourth proportional to 253.01, 379.57 and 180.72 is: 271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.01 : 379.57 = 180.72 : x
  2. Step 2: Convert to fraction form
    253.01/379.57 = 180.72/x
  3. Step 3: Cross multiply
    253.01x = 379.57 × 180.72
  4. Step 4: Simplify right side
    253.01x = 68,595.89
  5. Step 5: Solve for x
    x = 68,595.89/253.01
  6. Step 6: Final answer
    x = 271.12

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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.