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Finding the Fourth Proportional to 145.44, 216.96 and 133.32

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Solution

The fourth proportional to 145.44, 216.96 and 133.32 is: 198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.44 : 216.96 = 133.32 : x
  2. Step 2: Convert to fraction form
    145.44/216.96 = 133.32/x
  3. Step 3: Cross multiply
    145.44x = 216.96 × 133.32
  4. Step 4: Simplify right side
    145.44x = 28,925.11
  5. Step 5: Solve for x
    x = 28,925.11/145.44
  6. Step 6: Final answer
    x = 198.88

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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.