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Finding the Fourth Proportional to 238.07, 328.24 and 172.55

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Solution

The fourth proportional to 238.07, 328.24 and 172.55 is: 237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.07 : 328.24 = 172.55 : x
  2. Step 2: Convert to fraction form
    238.07/328.24 = 172.55/x
  3. Step 3: Cross multiply
    238.07x = 328.24 × 172.55
  4. Step 4: Simplify right side
    238.07x = 56,637.81
  5. Step 5: Solve for x
    x = 56,637.81/238.07
  6. Step 6: Final answer
    x = 237.90

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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.