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Finding the Fourth Proportional to 245.48, 368.13 and 180.50

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Solution

The fourth proportional to 245.48, 368.13 and 180.50 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.48 : 368.13 = 180.50 : x
  2. Step 2: Convert to fraction form
    245.48/368.13 = 180.50/x
  3. Step 3: Cross multiply
    245.48x = 368.13 × 180.50
  4. Step 4: Simplify right side
    245.48x = 66,447.47
  5. Step 5: Solve for x
    x = 66,447.47/245.48
  6. Step 6: Final answer
    x = 270.68

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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.