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Finding the Fourth Proportional to 145.47, 217.00 and 130.09

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Solution

The fourth proportional to 145.47, 217.00 and 130.09 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.47 : 217.00 = 130.09 : x
  2. Step 2: Convert to fraction form
    145.47/217.00 = 130.09/x
  3. Step 3: Cross multiply
    145.47x = 217.00 × 130.09
  4. Step 4: Simplify right side
    145.47x = 28,230.84
  5. Step 5: Solve for x
    x = 28,230.84/145.47
  6. Step 6: Final answer
    x = 194.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.