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Finding the Fourth Proportional to 145.23, 200.40 and 114.21

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Solution

The fourth proportional to 145.23, 200.40 and 114.21 is: 157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 200.40 = 114.21 : x
  2. Step 2: Convert to fraction form
    145.23/200.40 = 114.21/x
  3. Step 3: Cross multiply
    145.23x = 200.40 × 114.21
  4. Step 4: Simplify right side
    145.23x = 22,887.58
  5. Step 5: Solve for x
    x = 22,887.58/145.23
  6. Step 6: Final answer
    x = 157.59

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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.