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Finding the Fourth Proportional to 326.14, 488.94 and 152.72

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Solution

The fourth proportional to 326.14, 488.94 and 152.72 is: 228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 488.94 = 152.72 : x
  2. Step 2: Convert to fraction form
    326.14/488.94 = 152.72/x
  3. Step 3: Cross multiply
    326.14x = 488.94 × 152.72
  4. Step 4: Simplify right side
    326.14x = 74,670.92
  5. Step 5: Solve for x
    x = 74,670.92/326.14
  6. Step 6: Final answer
    x = 228.95

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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.