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Finding the Fourth Proportional to 284.78, 393.06 and 172.80

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Solution

The fourth proportional to 284.78, 393.06 and 172.80 is: 238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.78 : 393.06 = 172.80 : x
  2. Step 2: Convert to fraction form
    284.78/393.06 = 172.80/x
  3. Step 3: Cross multiply
    284.78x = 393.06 × 172.80
  4. Step 4: Simplify right side
    284.78x = 67,920.77
  5. Step 5: Solve for x
    x = 67,920.77/284.78
  6. Step 6: Final answer
    x = 238.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.