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Finding the Fourth Proportional to 152.37, 228.57 and 80.23

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Solution

The fourth proportional to 152.37, 228.57 and 80.23 is: 120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.37 : 228.57 = 80.23 : x
  2. Step 2: Convert to fraction form
    152.37/228.57 = 80.23/x
  3. Step 3: Cross multiply
    152.37x = 228.57 × 80.23
  4. Step 4: Simplify right side
    152.37x = 18,338.17
  5. Step 5: Solve for x
    x = 18,338.17/152.37
  6. Step 6: Final answer
    x = 120.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.