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Finding the Fourth Proportional to 145.22, 200.51 and 114.08

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Solution

The fourth proportional to 145.22, 200.51 and 114.08 is: 157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.22 : 200.51 = 114.08 : x
  2. Step 2: Convert to fraction form
    145.22/200.51 = 114.08/x
  3. Step 3: Cross multiply
    145.22x = 200.51 × 114.08
  4. Step 4: Simplify right side
    145.22x = 22,874.18
  5. Step 5: Solve for x
    x = 22,874.18/145.22
  6. Step 6: Final answer
    x = 157.51

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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.