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Finding the Fourth Proportional to 214.71, 296.12 and 152.49

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Solution

The fourth proportional to 214.71, 296.12 and 152.49 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 296.12 = 152.49 : x
  2. Step 2: Convert to fraction form
    214.71/296.12 = 152.49/x
  3. Step 3: Cross multiply
    214.71x = 296.12 × 152.49
  4. Step 4: Simplify right side
    214.71x = 45,155.34
  5. Step 5: Solve for x
    x = 45,155.34/214.71
  6. Step 6: Final answer
    x = 210.31

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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.