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Finding the Fourth Proportional to 145.79, 218.57 and 100.00

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Solution

The fourth proportional to 145.79, 218.57 and 100.00 is: 149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.79 : 218.57 = 100.00 : x
  2. Step 2: Convert to fraction form
    145.79/218.57 = 100.00/x
  3. Step 3: Cross multiply
    145.79x = 218.57 × 100.00
  4. Step 4: Simplify right side
    145.79x = 21,857.75
  5. Step 5: Solve for x
    x = 21,857.75/145.79
  6. Step 6: Final answer
    x = 149.93

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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.