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Finding the Fourth Proportional to 214.61, 322.14 and 156.08

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Solution

The fourth proportional to 214.61, 322.14 and 156.08 is: 234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.61 : 322.14 = 156.08 : x
  2. Step 2: Convert to fraction form
    214.61/322.14 = 156.08/x
  3. Step 3: Cross multiply
    214.61x = 322.14 × 156.08
  4. Step 4: Simplify right side
    214.61x = 50,278.00
  5. Step 5: Solve for x
    x = 50,278.00/214.61
  6. Step 6: Final answer
    x = 234.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.