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Finding the Fourth Proportional to 214.12, 295.62 and 148.60

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Solution

The fourth proportional to 214.12, 295.62 and 148.60 is: 205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.12 : 295.62 = 148.60 : x
  2. Step 2: Convert to fraction form
    214.12/295.62 = 148.60/x
  3. Step 3: Cross multiply
    214.12x = 295.62 × 148.60
  4. Step 4: Simplify right side
    214.12x = 43,929.13
  5. Step 5: Solve for x
    x = 43,929.13/214.12
  6. Step 6: Final answer
    x = 205.16

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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.