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Finding the Fourth Proportional to 214.98, 296.76 and 145.08

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Solution

The fourth proportional to 214.98, 296.76 and 145.08 is: 200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.98 : 296.76 = 145.08 : x
  2. Step 2: Convert to fraction form
    214.98/296.76 = 145.08/x
  3. Step 3: Cross multiply
    214.98x = 296.76 × 145.08
  4. Step 4: Simplify right side
    214.98x = 43,053.94
  5. Step 5: Solve for x
    x = 43,053.94/214.98
  6. Step 6: Final answer
    x = 200.27

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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.