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Finding the Fourth Proportional to 380, 569.85 and 148.86

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Solution

The fourth proportional to 380, 569.85 and 148.86 is: 223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 569.85 = 148.86 : x
  2. Step 2: Convert to fraction form
    380/569.85 = 148.86/x
  3. Step 3: Cross multiply
    380x = 569.85 × 148.86
  4. Step 4: Simplify right side
    380x = 84,827.87
  5. Step 5: Solve for x
    x = 84,827.87/380
  6. Step 6: Final answer
    x = 223.23

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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.