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Finding the Fourth Proportional to 214.78, 322.76 and 117.35

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Solution

The fourth proportional to 214.78, 322.76 and 117.35 is: 176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.78 : 322.76 = 117.35 : x
  2. Step 2: Convert to fraction form
    214.78/322.76 = 117.35/x
  3. Step 3: Cross multiply
    214.78x = 322.76 × 117.35
  4. Step 4: Simplify right side
    214.78x = 37,875.30
  5. Step 5: Solve for x
    x = 37,875.30/214.78
  6. Step 6: Final answer
    x = 176.35

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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.