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Finding the Fourth Proportional to 145.00, 200.29 and 114.25

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Solution

The fourth proportional to 145.00, 200.29 and 114.25 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.00 : 200.29 = 114.25 : x
  2. Step 2: Convert to fraction form
    145.00/200.29 = 114.25/x
  3. Step 3: Cross multiply
    145.00x = 200.29 × 114.25
  4. Step 4: Simplify right side
    145.00x = 22,882.17
  5. Step 5: Solve for x
    x = 22,882.17/145.00
  6. Step 6: Final answer
    x = 157.81

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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.