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Finding the Fourth Proportional to 295.48, 443.77 and 180.12

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Solution

The fourth proportional to 295.48, 443.77 and 180.12 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.48 : 443.77 = 180.12 : x
  2. Step 2: Convert to fraction form
    295.48/443.77 = 180.12/x
  3. Step 3: Cross multiply
    295.48x = 443.77 × 180.12
  4. Step 4: Simplify right side
    295.48x = 79,931.40
  5. Step 5: Solve for x
    x = 79,931.40/295.48
  6. Step 6: Final answer
    x = 270.52

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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.