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Finding the Fourth Proportional to 158.16, 236.96 and 152.56

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Solution

The fourth proportional to 158.16, 236.96 and 152.56 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.16 : 236.96 = 152.56 : x
  2. Step 2: Convert to fraction form
    158.16/236.96 = 152.56/x
  3. Step 3: Cross multiply
    158.16x = 236.96 × 152.56
  4. Step 4: Simplify right side
    158.16x = 36,150.62
  5. Step 5: Solve for x
    x = 36,150.62/158.16
  6. Step 6: Final answer
    x = 228.57

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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.