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Finding the Fourth Proportional to 152.24, 208.80 and 150.08

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Solution

The fourth proportional to 152.24, 208.80 and 150.08 is: 205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 208.80 = 150.08 : x
  2. Step 2: Convert to fraction form
    152.24/208.80 = 150.08/x
  3. Step 3: Cross multiply
    152.24x = 208.80 × 150.08
  4. Step 4: Simplify right side
    152.24x = 31,336.70
  5. Step 5: Solve for x
    x = 31,336.70/152.24
  6. Step 6: Final answer
    x = 205.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.