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Finding the Fourth Proportional to 145.74, 218.40 and 118.20

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Solution

The fourth proportional to 145.74, 218.40 and 118.20 is: 177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 218.40 = 118.20 : x
  2. Step 2: Convert to fraction form
    145.74/218.40 = 118.20/x
  3. Step 3: Cross multiply
    145.74x = 218.40 × 118.20
  4. Step 4: Simplify right side
    145.74x = 25,814.88
  5. Step 5: Solve for x
    x = 25,814.88/145.74
  6. Step 6: Final answer
    x = 177.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.