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Finding the Fourth Proportional to 233.84, 322.65 and 146.63

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Solution

The fourth proportional to 233.84, 322.65 and 146.63 is: 202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 322.65 = 146.63 : x
  2. Step 2: Convert to fraction form
    233.84/322.65 = 146.63/x
  3. Step 3: Cross multiply
    233.84x = 322.65 × 146.63
  4. Step 4: Simplify right side
    233.84x = 47,310.17
  5. Step 5: Solve for x
    x = 47,310.17/233.84
  6. Step 6: Final answer
    x = 202.32

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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.