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Finding the Fourth Proportional to 145.74, 200.52 and 142.14

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Solution

The fourth proportional to 145.74, 200.52 and 142.14 is: 195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 200.52 = 142.14 : x
  2. Step 2: Convert to fraction form
    145.74/200.52 = 142.14/x
  3. Step 3: Cross multiply
    145.74x = 200.52 × 142.14
  4. Step 4: Simplify right side
    145.74x = 28,501.91
  5. Step 5: Solve for x
    x = 28,501.91/145.74
  6. Step 6: Final answer
    x = 195.57

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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.