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Finding the Fourth Proportional to 157.62, 235.11 and 152.40

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Solution

The fourth proportional to 157.62, 235.11 and 152.40 is: 227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.62 : 235.11 = 152.40 : x
  2. Step 2: Convert to fraction form
    157.62/235.11 = 152.40/x
  3. Step 3: Cross multiply
    157.62x = 235.11 × 152.40
  4. Step 4: Simplify right side
    157.62x = 35,830.76
  5. Step 5: Solve for x
    x = 35,830.76/157.62
  6. Step 6: Final answer
    x = 227.32

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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.