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Finding the Fourth Proportional to 303.64, 419.08 and 172.72

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Solution

The fourth proportional to 303.64, 419.08 and 172.72 is: 238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.64 : 419.08 = 172.72 : x
  2. Step 2: Convert to fraction form
    303.64/419.08 = 172.72/x
  3. Step 3: Cross multiply
    303.64x = 419.08 × 172.72
  4. Step 4: Simplify right side
    303.64x = 72,383.50
  5. Step 5: Solve for x
    x = 72,383.50/303.64
  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.