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Finding the Fourth Proportional to 152.72, 228.82 and 147.10

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Solution

The fourth proportional to 152.72, 228.82 and 147.10 is: 220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.72 : 228.82 = 147.10 : x
  2. Step 2: Convert to fraction form
    152.72/228.82 = 147.10/x
  3. Step 3: Cross multiply
    152.72x = 228.82 × 147.10
  4. Step 4: Simplify right side
    152.72x = 33,659.42
  5. Step 5: Solve for x
    x = 33,659.42/152.72
  6. Step 6: Final answer
    x = 220.40

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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.