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Finding the Fourth Proportional to 214.88, 296.96 and 180.32

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Solution

The fourth proportional to 214.88, 296.96 and 180.32 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 296.96 = 180.32 : x
  2. Step 2: Convert to fraction form
    214.88/296.96 = 180.32/x
  3. Step 3: Cross multiply
    214.88x = 296.96 × 180.32
  4. Step 4: Simplify right side
    214.88x = 53,547.83
  5. Step 5: Solve for x
    x = 53,547.83/214.88
  6. Step 6: Final answer
    x = 249.20

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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.