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Finding the Fourth Proportional to 145.77, 200.93 and 142.89

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Solution

The fourth proportional to 145.77, 200.93 and 142.89 is: 196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.77 : 200.93 = 142.89 : x
  2. Step 2: Convert to fraction form
    145.77/200.93 = 142.89/x
  3. Step 3: Cross multiply
    145.77x = 200.93 × 142.89
  4. Step 4: Simplify right side
    145.77x = 28,710.89
  5. Step 5: Solve for x
    x = 28,710.89/145.77
  6. Step 6: Final answer
    x = 196.96

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