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Finding the Fourth Proportional to 145.36, 200.08 and 130.80

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Solution

The fourth proportional to 145.36, 200.08 and 130.80 is: 180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.36 : 200.08 = 130.80 : x
  2. Step 2: Convert to fraction form
    145.36/200.08 = 130.80/x
  3. Step 3: Cross multiply
    145.36x = 200.08 × 130.80
  4. Step 4: Simplify right side
    145.36x = 26,170.46
  5. Step 5: Solve for x
    x = 26,170.46/145.36
  6. Step 6: Final answer
    x = 180.04

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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.