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Finding the Fourth Proportional to 233.67, 322.38 and 175.53

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Solution

The fourth proportional to 233.67, 322.38 and 175.53 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.67 : 322.38 = 175.53 : x
  2. Step 2: Convert to fraction form
    233.67/322.38 = 175.53/x
  3. Step 3: Cross multiply
    233.67x = 322.38 × 175.53
  4. Step 4: Simplify right side
    233.67x = 56,587.36
  5. Step 5: Solve for x
    x = 56,587.36/233.67
  6. Step 6: Final answer
    x = 242.17

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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.