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Finding the Fourth Proportional to 153.55, 228.56 and 152.88

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Solution

The fourth proportional to 153.55, 228.56 and 152.88 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.55 : 228.56 = 152.88 : x
  2. Step 2: Convert to fraction form
    153.55/228.56 = 152.88/x
  3. Step 3: Cross multiply
    153.55x = 228.56 × 152.88
  4. Step 4: Simplify right side
    153.55x = 34,942.25
  5. Step 5: Solve for x
    x = 34,942.25/153.55
  6. Step 6: Final answer
    x = 227.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.