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Finding the Fourth Proportional to 214.48, 296.01 and 131.57

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Solution

The fourth proportional to 214.48, 296.01 and 131.57 is: 181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.48 : 296.01 = 131.57 : x
  2. Step 2: Convert to fraction form
    214.48/296.01 = 131.57/x
  3. Step 3: Cross multiply
    214.48x = 296.01 × 131.57
  4. Step 4: Simplify right side
    214.48x = 38,946.04
  5. Step 5: Solve for x
    x = 38,946.04/214.48
  6. Step 6: Final answer
    x = 181.58

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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.