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Finding the Fourth Proportional to 245.23, 368.04 and 123.58

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Solution

The fourth proportional to 245.23, 368.04 and 123.58 is: 185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.23 : 368.04 = 123.58 : x
  2. Step 2: Convert to fraction form
    245.23/368.04 = 123.58/x
  3. Step 3: Cross multiply
    245.23x = 368.04 × 123.58
  4. Step 4: Simplify right side
    245.23x = 45,482.38
  5. Step 5: Solve for x
    x = 45,482.38/245.23
  6. Step 6: Final answer
    x = 185.47

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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.