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Finding the Fourth Proportional to 152.42, 210.24 and 115.46

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Solution

The fourth proportional to 152.42, 210.24 and 115.46 is: 159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.42 : 210.24 = 115.46 : x
  2. Step 2: Convert to fraction form
    152.42/210.24 = 115.46/x
  3. Step 3: Cross multiply
    152.42x = 210.24 × 115.46
  4. Step 4: Simplify right side
    152.42x = 24,274.84
  5. Step 5: Solve for x
    x = 24,274.84/152.42
  6. Step 6: Final answer
    x = 159.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.