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Finding the Fourth Proportional to 145.17, 200.03 and 130.39

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Solution

The fourth proportional to 145.17, 200.03 and 130.39 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.17 : 200.03 = 130.39 : x
  2. Step 2: Convert to fraction form
    145.17/200.03 = 130.39/x
  3. Step 3: Cross multiply
    145.17x = 200.03 × 130.39
  4. Step 4: Simplify right side
    145.17x = 26,080.76
  5. Step 5: Solve for x
    x = 26,080.76/145.17
  6. Step 6: Final answer
    x = 179.66

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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.