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Finding the Fourth Proportional to 214.35, 295.77 and 148.87

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Solution

The fourth proportional to 214.35, 295.77 and 148.87 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.35 : 295.77 = 148.87 : x
  2. Step 2: Convert to fraction form
    214.35/295.77 = 148.87/x
  3. Step 3: Cross multiply
    214.35x = 295.77 × 148.87
  4. Step 4: Simplify right side
    214.35x = 44,031.28
  5. Step 5: Solve for x
    x = 44,031.28/214.35
  6. Step 6: Final answer
    x = 205.42

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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.