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Finding the Fourth Proportional to 255.54, 352.67 and 145.01

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Solution

The fourth proportional to 255.54, 352.67 and 145.01 is: 200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.54 : 352.67 = 145.01 : x
  2. Step 2: Convert to fraction form
    255.54/352.67 = 145.01/x
  3. Step 3: Cross multiply
    255.54x = 352.67 × 145.01
  4. Step 4: Simplify right side
    255.54x = 51,140.83
  5. Step 5: Solve for x
    x = 51,140.83/255.54
  6. Step 6: Final answer
    x = 200.13

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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.