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Finding the Fourth Proportional to 304.93, 420.83 and 188.50

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Solution

The fourth proportional to 304.93, 420.83 and 188.50 is: 260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.93 : 420.83 = 188.50 : x
  2. Step 2: Convert to fraction form
    304.93/420.83 = 188.50/x
  3. Step 3: Cross multiply
    304.93x = 420.83 × 188.50
  4. Step 4: Simplify right side
    304.93x = 79,325.51
  5. Step 5: Solve for x
    x = 79,325.51/304.93
  6. Step 6: Final answer
    x = 260.14

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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.