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Finding the Fourth Proportional to 145.39, 200.60 and 131.53

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Solution

The fourth proportional to 145.39, 200.60 and 131.53 is: 181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.39 : 200.60 = 131.53 : x
  2. Step 2: Convert to fraction form
    145.39/200.60 = 131.53/x
  3. Step 3: Cross multiply
    145.39x = 200.60 × 131.53
  4. Step 4: Simplify right side
    145.39x = 26,384.26
  5. Step 5: Solve for x
    x = 26,384.26/145.39
  6. Step 6: Final answer
    x = 181.47

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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.