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Finding the Fourth Proportional to 303.76, 419.14 and 172.77

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Solution

The fourth proportional to 303.76, 419.14 and 172.77 is: 238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.76 : 419.14 = 172.77 : x
  2. Step 2: Convert to fraction form
    303.76/419.14 = 172.77/x
  3. Step 3: Cross multiply
    303.76x = 419.14 × 172.77
  4. Step 4: Simplify right side
    303.76x = 72,414.82
  5. Step 5: Solve for x
    x = 72,414.82/303.76
  6. Step 6: Final answer
    x = 238.39

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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.