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Finding the Fourth Proportional to 239.51, 358.92 and 152.57

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Solution

The fourth proportional to 239.51, 358.92 and 152.57 is: 228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.51 : 358.92 = 152.57 : x
  2. Step 2: Convert to fraction form
    239.51/358.92 = 152.57/x
  3. Step 3: Cross multiply
    239.51x = 358.92 × 152.57
  4. Step 4: Simplify right side
    239.51x = 54,758.63
  5. Step 5: Solve for x
    x = 54,758.63/239.51
  6. Step 6: Final answer
    x = 228.63

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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.