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Finding the Fourth Proportional to 150.93, 224.85 and 145.42

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Solution

The fourth proportional to 150.93, 224.85 and 145.42 is: 216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 224.85 = 145.42 : x
  2. Step 2: Convert to fraction form
    150.93/224.85 = 145.42/x
  3. Step 3: Cross multiply
    150.93x = 224.85 × 145.42
  4. Step 4: Simplify right side
    150.93x = 32,697.12
  5. Step 5: Solve for x
    x = 32,697.12/150.93
  6. Step 6: Final answer
    x = 216.64

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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.