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Finding the Fourth Proportional to 233.71, 322.93 and 202.58

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Solution

The fourth proportional to 233.71, 322.93 and 202.58 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.71 : 322.93 = 202.58 : x
  2. Step 2: Convert to fraction form
    233.71/322.93 = 202.58/x
  3. Step 3: Cross multiply
    233.71x = 322.93 × 202.58
  4. Step 4: Simplify right side
    233.71x = 65,417.53
  5. Step 5: Solve for x
    x = 65,417.53/233.71
  6. Step 6: Final answer
    x = 279.91

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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.