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Finding the Fourth Proportional to 233.58, 322.59 and 214.14

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Solution

The fourth proportional to 233.58, 322.59 and 214.14 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.58 : 322.59 = 214.14 : x
  2. Step 2: Convert to fraction form
    233.58/322.59 = 214.14/x
  3. Step 3: Cross multiply
    233.58x = 322.59 × 214.14
  4. Step 4: Simplify right side
    233.58x = 69,079.42
  5. Step 5: Solve for x
    x = 69,079.42/233.58
  6. Step 6: Final answer
    x = 295.74

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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.