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Finding the Fourth Proportional to 214.84, 296.40 and 137.08

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Solution

The fourth proportional to 214.84, 296.40 and 137.08 is: 189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.84 : 296.40 = 137.08 : x
  2. Step 2: Convert to fraction form
    214.84/296.40 = 137.08/x
  3. Step 3: Cross multiply
    214.84x = 296.40 × 137.08
  4. Step 4: Simplify right side
    214.84x = 40,630.51
  5. Step 5: Solve for x
    x = 40,630.51/214.84
  6. Step 6: Final answer
    x = 189.12

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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.