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Finding the Fourth Proportional to 156.68, 215.88 and 145.52

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Solution

The fourth proportional to 156.68, 215.88 and 145.52 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.68 : 215.88 = 145.52 : x
  2. Step 2: Convert to fraction form
    156.68/215.88 = 145.52/x
  3. Step 3: Cross multiply
    156.68x = 215.88 × 145.52
  4. Step 4: Simplify right side
    156.68x = 31,414.86
  5. Step 5: Solve for x
    x = 31,414.86/156.68
  6. Step 6: Final answer
    x = 200.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.