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Finding the Fourth Proportional to 145.47, 200.61 and 117.75

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Solution

The fourth proportional to 145.47, 200.61 and 117.75 is: 162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.47 : 200.61 = 117.75 : x
  2. Step 2: Convert to fraction form
    145.47/200.61 = 117.75/x
  3. Step 3: Cross multiply
    145.47x = 200.61 × 117.75
  4. Step 4: Simplify right side
    145.47x = 23,621.83
  5. Step 5: Solve for x
    x = 23,621.83/145.47
  6. Step 6: Final answer
    x = 162.38

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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.