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Finding the Fourth Proportional to 233.76, 322.32 and 210.52

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Solution

The fourth proportional to 233.76, 322.32 and 210.52 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 322.32 = 210.52 : x
  2. Step 2: Convert to fraction form
    233.76/322.32 = 210.52/x
  3. Step 3: Cross multiply
    233.76x = 322.32 × 210.52
  4. Step 4: Simplify right side
    233.76x = 67,854.81
  5. Step 5: Solve for x
    x = 67,854.81/233.76
  6. Step 6: Final answer
    x = 290.28

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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.