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Finding the Fourth Proportional to 145.24, 219.02 and 128.30

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Solution

The fourth proportional to 145.24, 219.02 and 128.30 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.24 : 219.02 = 128.30 : x
  2. Step 2: Convert to fraction form
    145.24/219.02 = 128.30/x
  3. Step 3: Cross multiply
    145.24x = 219.02 × 128.30
  4. Step 4: Simplify right side
    145.24x = 28,100.27
  5. Step 5: Solve for x
    x = 28,100.27/145.24
  6. Step 6: Final answer
    x = 193.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.