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Finding the Fourth Proportional to 214.29, 295.86 and 148.01

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Solution

The fourth proportional to 214.29, 295.86 and 148.01 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.29 : 295.86 = 148.01 : x
  2. Step 2: Convert to fraction form
    214.29/295.86 = 148.01/x
  3. Step 3: Cross multiply
    214.29x = 295.86 × 148.01
  4. Step 4: Simplify right side
    214.29x = 43,788.76
  5. Step 5: Solve for x
    x = 43,788.76/214.29
  6. Step 6: Final answer
    x = 204.34

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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.