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Finding the Fourth Proportional to 214.52, 296.08 and 148.02

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Solution

The fourth proportional to 214.52, 296.08 and 148.02 is: 204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 296.08 = 148.02 : x
  2. Step 2: Convert to fraction form
    214.52/296.08 = 148.02/x
  3. Step 3: Cross multiply
    214.52x = 296.08 × 148.02
  4. Step 4: Simplify right side
    214.52x = 43,825.76
  5. Step 5: Solve for x
    x = 43,825.76/214.52
  6. Step 6: Final answer
    x = 204.30

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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.