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Finding the Fourth Proportional to 158.04, 235.60 and 146.52

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Solution

The fourth proportional to 158.04, 235.60 and 146.52 is: 218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 235.60 = 146.52 : x
  2. Step 2: Convert to fraction form
    158.04/235.60 = 146.52/x
  3. Step 3: Cross multiply
    158.04x = 235.60 × 146.52
  4. Step 4: Simplify right side
    158.04x = 34,520.11
  5. Step 5: Solve for x
    x = 34,520.11/158.04
  6. Step 6: Final answer
    x = 218.43

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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.