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Finding the Fourth Proportional to 245.43, 367.20 and 152.55

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Solution

The fourth proportional to 245.43, 367.20 and 152.55 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.43 : 367.20 = 152.55 : x
  2. Step 2: Convert to fraction form
    245.43/367.20 = 152.55/x
  3. Step 3: Cross multiply
    245.43x = 367.20 × 152.55
  4. Step 4: Simplify right side
    245.43x = 56,016.36
  5. Step 5: Solve for x
    x = 56,016.36/245.43
  6. Step 6: Final answer
    x = 228.24

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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.