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Finding the Fourth Proportional to 152.96, 228.30 and 149.32

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Solution

The fourth proportional to 152.96, 228.30 and 149.32 is: 222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 228.30 = 149.32 : x
  2. Step 2: Convert to fraction form
    152.96/228.30 = 149.32/x
  3. Step 3: Cross multiply
    152.96x = 228.30 × 149.32
  4. Step 4: Simplify right side
    152.96x = 34,089.76
  5. Step 5: Solve for x
    x = 34,089.76/152.96
  6. Step 6: Final answer
    x = 222.87

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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.