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Finding the Fourth Proportional to 214.50, 296.10 and 152.34

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Solution

The fourth proportional to 214.50, 296.10 and 152.34 is: 210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 296.10 = 152.34 : x
  2. Step 2: Convert to fraction form
    214.50/296.10 = 152.34/x
  3. Step 3: Cross multiply
    214.50x = 296.10 × 152.34
  4. Step 4: Simplify right side
    214.50x = 45,107.87
  5. Step 5: Solve for x
    x = 45,107.87/214.50
  6. Step 6: Final answer
    x = 210.29

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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.