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Finding the Fourth Proportional to 228.56, 314.76 and 210.32

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Solution

The fourth proportional to 228.56, 314.76 and 210.32 is: 289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.56 : 314.76 = 210.32 : x
  2. Step 2: Convert to fraction form
    228.56/314.76 = 210.32/x
  3. Step 3: Cross multiply
    228.56x = 314.76 × 210.32
  4. Step 4: Simplify right side
    228.56x = 66,200.32
  5. Step 5: Solve for x
    x = 66,200.32/228.56
  6. Step 6: Final answer
    x = 289.64

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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.