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Finding the Fourth Proportional to 145.32, 216.96 and 135.84

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Solution

The fourth proportional to 145.32, 216.96 and 135.84 is: 202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 216.96 = 135.84 : x
  2. Step 2: Convert to fraction form
    145.32/216.96 = 135.84/x
  3. Step 3: Cross multiply
    145.32x = 216.96 × 135.84
  4. Step 4: Simplify right side
    145.32x = 29,471.85
  5. Step 5: Solve for x
    x = 29,471.85/145.32
  6. Step 6: Final answer
    x = 202.81

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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.