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Finding the Fourth Proportional to 145.16, 200.40 and 119.60

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Solution

The fourth proportional to 145.16, 200.40 and 119.60 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 200.40 = 119.60 : x
  2. Step 2: Convert to fraction form
    145.16/200.40 = 119.60/x
  3. Step 3: Cross multiply
    145.16x = 200.40 × 119.60
  4. Step 4: Simplify right side
    145.16x = 23,967.84
  5. Step 5: Solve for x
    x = 23,967.84/145.16
  6. Step 6: Final answer
    x = 165.11

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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.