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Finding the Fourth Proportional to 248.70, 373.29 and 180.60

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Solution

The fourth proportional to 248.70, 373.29 and 180.60 is: 271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.70 : 373.29 = 180.60 : x
  2. Step 2: Convert to fraction form
    248.70/373.29 = 180.60/x
  3. Step 3: Cross multiply
    248.70x = 373.29 × 180.60
  4. Step 4: Simplify right side
    248.70x = 67,416.17
  5. Step 5: Solve for x
    x = 67,416.17/248.70
  6. Step 6: Final answer
    x = 271.07

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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.