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Finding the Fourth Proportional to 380, 569.83 and 145.69

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Solution

The fourth proportional to 380, 569.83 and 145.69 is: 218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 569.83 = 145.69 : x
  2. Step 2: Convert to fraction form
    380/569.83 = 145.69/x
  3. Step 3: Cross multiply
    380x = 569.83 × 145.69
  4. Step 4: Simplify right side
    380x = 83,018.53
  5. Step 5: Solve for x
    x = 83,018.53/380
  6. Step 6: Final answer
    x = 218.47

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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.