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Finding the Fourth Proportional to 235.04, 322.48 and 228.92

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Solution

The fourth proportional to 235.04, 322.48 and 228.92 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.04 : 322.48 = 228.92 : x
  2. Step 2: Convert to fraction form
    235.04/322.48 = 228.92/x
  3. Step 3: Cross multiply
    235.04x = 322.48 × 228.92
  4. Step 4: Simplify right side
    235.04x = 73,822.12
  5. Step 5: Solve for x
    x = 73,822.12/235.04
  6. Step 6: Final answer
    x = 314.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.