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Finding the Fourth Proportional to 344.88, 516.80 and 152.64

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Solution

The fourth proportional to 344.88, 516.80 and 152.64 is: 228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.88 : 516.80 = 152.64 : x
  2. Step 2: Convert to fraction form
    344.88/516.80 = 152.64/x
  3. Step 3: Cross multiply
    344.88x = 516.80 × 152.64
  4. Step 4: Simplify right side
    344.88x = 78,884.35
  5. Step 5: Solve for x
    x = 78,884.35/344.88
  6. Step 6: Final answer
    x = 228.73

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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.