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Finding the Fourth Proportional to 158.86, 238.47 and 152.38

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Solution

The fourth proportional to 158.86, 238.47 and 152.38 is: 228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.86 : 238.47 = 152.38 : x
  2. Step 2: Convert to fraction form
    158.86/238.47 = 152.38/x
  3. Step 3: Cross multiply
    158.86x = 238.47 × 152.38
  4. Step 4: Simplify right side
    158.86x = 36,338.06
  5. Step 5: Solve for x
    x = 36,338.06/158.86
  6. Step 6: Final answer
    x = 228.74

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Why These Related Problems?

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