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Finding the Fourth Proportional to 264.49, 364.98 and 148.06

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Solution

The fourth proportional to 264.49, 364.98 and 148.06 is: 204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.49 : 364.98 = 148.06 : x
  2. Step 2: Convert to fraction form
    264.49/364.98 = 148.06/x
  3. Step 3: Cross multiply
    264.49x = 364.98 × 148.06
  4. Step 4: Simplify right side
    264.49x = 54,038.94
  5. Step 5: Solve for x
    x = 54,038.94/264.49
  6. Step 6: Final answer
    x = 204.31

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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.