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Finding the Fourth Proportional to 244.36, 365.64 and 152.64

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Solution

The fourth proportional to 244.36, 365.64 and 152.64 is: 228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.36 : 365.64 = 152.64 : x
  2. Step 2: Convert to fraction form
    244.36/365.64 = 152.64/x
  3. Step 3: Cross multiply
    244.36x = 365.64 × 152.64
  4. Step 4: Simplify right side
    244.36x = 55,811.29
  5. Step 5: Solve for x
    x = 55,811.29/244.36
  6. Step 6: Final answer
    x = 228.40

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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.