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Finding the Fourth Proportional to 152.42, 228.70 and 65.78

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Solution

The fourth proportional to 152.42, 228.70 and 65.78 is: 98.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.42 : 228.70 = 65.78 : x
  2. Step 2: Convert to fraction form
    152.42/228.70 = 65.78/x
  3. Step 3: Cross multiply
    152.42x = 228.70 × 65.78
  4. Step 4: Simplify right side
    152.42x = 15,042.58
  5. Step 5: Solve for x
    x = 15,042.58/152.42
  6. Step 6: Final answer
    x = 98.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.