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Finding the Fourth Proportional to 151.40, 225.60 and 145.60

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Solution

The fourth proportional to 151.40, 225.60 and 145.60 is: 216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 225.60 = 145.60 : x
  2. Step 2: Convert to fraction form
    151.40/225.60 = 145.60/x
  3. Step 3: Cross multiply
    151.40x = 225.60 × 145.60
  4. Step 4: Simplify right side
    151.40x = 32,847.07
  5. Step 5: Solve for x
    x = 32,847.07/151.40
  6. Step 6: Final answer
    x = 216.95

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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.