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Finding the Fourth Proportional to 150.24, 223.80 and 145.70

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Solution

The fourth proportional to 150.24, 223.80 and 145.70 is: 217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.24 : 223.80 = 145.70 : x
  2. Step 2: Convert to fraction form
    150.24/223.80 = 145.70/x
  3. Step 3: Cross multiply
    150.24x = 223.80 × 145.70
  4. Step 4: Simplify right side
    150.24x = 32,607.66
  5. Step 5: Solve for x
    x = 32,607.66/150.24
  6. Step 6: Final answer
    x = 217.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.