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Finding the Fourth Proportional to 214.68, 296.15 and 152.54

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Solution

The fourth proportional to 214.68, 296.15 and 152.54 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.68 : 296.15 = 152.54 : x
  2. Step 2: Convert to fraction form
    214.68/296.15 = 152.54/x
  3. Step 3: Cross multiply
    214.68x = 296.15 × 152.54
  4. Step 4: Simplify right side
    214.68x = 45,172.48
  5. Step 5: Solve for x
    x = 45,172.48/214.68
  6. Step 6: Final answer
    x = 210.42

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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.